3757952640 has 128 divisors (see below), whose sum is σ = 12899980800. Its totient is φ = 925028352.

The previous prime is 3757952623. The next prime is 3757952647. The reversal of 3757952640 is 462597573.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3757952640.

It is not an unprimeable number, because it can be changed into a prime (3757952647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50320 + ... + 100239.

It is an arithmetic number, because the mean of its divisors is an integer number (100781100).

Almost surely, 2^3757952640 is an apocalyptic number.

3757952640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3757952640 is an abundant number, since it is smaller than the sum of its proper divisors (9142028160).

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

3757952640 is a wasteful number, since it uses less digits than its factorization.

3757952640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150594 (or 150582 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 48.

The square root of 3757952640 is about 61302.1422137922. The cubic root of 3757952640 is about 1554.7137309342.

The spelling of 3757952640 in words is "three billion, seven hundred fifty-seven million, nine hundred fifty-two thousand, six hundred forty".