3755172960 has 960 divisors, whose sum is σ = 17071617024. Its totient is φ = 754790400.

The previous prime is 3755172917. The next prime is 3755172961. The reversal of 3755172960 is 692715573.

3755172960 is a `hidden beast` number, since 3 + 7 + 551 + 7 + 2 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3755172961) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 52889725 + ... + 52889795.

Almost surely, 2^3755172960 is an apocalyptic number.

3755172960 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 3755172960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8535808512).

3755172960 is an abundant number, since it is smaller than the sum of its proper divisors (13316444064).

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

3755172960 is a wasteful number, since it uses less digits than its factorization.

3755172960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 3755172960 is about 61279.4660551151. The cubic root of 3755172960 is about 1554.3303064963.

It can be divided in two parts, 3755 and 172960, that added together give a triangular number (176715 = T₅₉₄).

The spelling of 3755172960 in words is "three billion, seven hundred fifty-five million, one hundred seventy-two thousand, nine hundred sixty".