3545785152 has 224 divisors, whose sum is σ = 12830048000. Its totient is φ = 935110656.

The previous prime is 3545785141. The next prime is 3545785211. The reversal of 3545785152 is 2515875453.

3545785152 is a `hidden beast` number, since 3 + 545 + 7 + 8 + 51 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 3545785098 and 3545785107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145974 + ... + 168522.

It is an arithmetic number, because the mean of its divisors is an integer number (57277000).

Almost surely, 2^3545785152 is an apocalyptic number.

3545785152 is a gapful number since it is divisible by the number (32) 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 3545785152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6415024000).

3545785152 is an abundant number, since it is smaller than the sum of its proper divisors (9284262848).

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

3545785152 is a wasteful number, since it uses less digits than its factorization.

3545785152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22590 (or 22574 counting only the distinct ones).

The product of its digits is 840000, while the sum is 45.

The square root of 3545785152 is about 59546.4957155331. The cubic root of 3545785152 is about 1524.8863341959.

The spelling of 3545785152 in words is "three billion, five hundred forty-five million, seven hundred eighty-five thousand, one hundred fifty-two".