3755557000 has 128 divisors (see below), whose sum is σ = 9770342400. Its totient is φ = 1341792000.

The previous prime is 3755556997. The next prime is 3755557009. The reversal of 3755557000 is 7555573.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3755557009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 398341 + ... + 407659.

It is an arithmetic number, because the mean of its divisors is an integer number (76330800).

Almost surely, 2^3755557000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3755557000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4885171200).

3755557000 is an abundant number, since it is smaller than the sum of its proper divisors (6014785400).

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

3755557000 is a wasteful number, since it uses less digits than its factorization.

3755557000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9384 (or 9370 counting only the distinct ones).

The product of its (nonzero) digits is 91875, while the sum is 37.

The square root of 3755557000 is about 61282.5994879460. The cubic root of 3755557000 is about 1554.3832915980.

The spelling of 3755557000 in words is "three billion, seven hundred fifty-five million, five hundred fifty-seven thousand".