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3545980800 = 273522947271
BaseRepresentation
bin1101001101011011…
…0101111110000000
3100011010101111012020
43103112311332000
524230232341200
61343510401440
7153605224305
oct32326657600
910133344166
103545980800
11155a68294a
1282b660280
134468484bb
14258d2b0ac
1515b490ea0
hexd35b5f80

3545980800 has 384 divisors, whose sum is σ = 12384921600. Its totient is φ = 890265600.

The previous prime is 3545980769. The next prime is 3545980831. The reversal of 3545980800 is 80895453.

It is an interprime number because it is at equal distance from previous prime (3545980769) and next prime (3545980831).

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13084665 + ... + 13084935.

It is an arithmetic number, because the mean of its divisors is an integer number (32252400).

Almost surely, 23545980800 is an apocalyptic number.

3545980800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3545980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6192460800).

3545980800 is an abundant number, since it is smaller than the sum of its proper divisors (8838940800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3545980800 is a wasteful number, since it uses less digits than its factorization.

3545980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 3545980800 is about 59548.1385099484. The cubic root of 3545980800 is about 1524.9143802150.

The spelling of 3545980800 in words is "three billion, five hundred forty-five million, nine hundred eighty thousand, eight hundred".