3755532900 has 288 divisors, whose sum is σ = 13379143680. Its totient is φ = 793774080.

The previous prime is 3755532881. The next prime is 3755532901. The reversal of 3755532900 is 92355573.

It is not an unprimeable number, because it can be changed into a prime (3755532901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2105409 + ... + 2107191.

It is an arithmetic number, because the mean of its divisors is an integer number (46455360).

Almost surely, 2^3755532900 is an apocalyptic number.

3755532900 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 3755532900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6689571840).

3755532900 is an abundant number, since it is smaller than the sum of its proper divisors (9623610780).

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

3755532900 is a wasteful number, since it uses less digits than its factorization.

3755532900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 141750, while the sum is 39.

The square root of 3755532900 is about 61282.4028575904. The cubic root of 3755532900 is about 1554.3799666835.

The spelling of 3755532900 in words is "three billion, seven hundred fifty-five million, five hundred thirty-two thousand, nine hundred".