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3545730720 = 253357373169
BaseRepresentation
bin1101001101010111…
…1000111010100000
3100011002220210011000
43103111320322200
524230201340340
61343501152000
7153603133230
oct32325707240
910132823130
103545730720
11155a521a74
1282b55b600
1344678b71c
14258ca3cc0
1515b441d30
hexd3578ea0

3545730720 has 384 divisors, whose sum is σ = 14570841600. Its totient is φ = 788299776.

The previous prime is 3545730709. The next prime is 3545730737. The reversal of 3545730720 is 270375453.

3545730720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1117296 + ... + 1120464.

It is an arithmetic number, because the mean of its divisors is an integer number (37944900).

Almost surely, 23545730720 is an apocalyptic number.

3545730720 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 3545730720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7285420800).

3545730720 is an abundant number, since it is smaller than the sum of its proper divisors (11025110880).

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

3545730720 is a wasteful number, since it uses less digits than its factorization.

3545730720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3237 (or 3223 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 36.

The square root of 3545730720 is about 59546.0386591753. The cubic root of 3545730720 is about 1524.8785312191.

The spelling of 3545730720 in words is "three billion, five hundred forty-five million, seven hundred thirty thousand, seven hundred twenty".