3752971920 has 160 divisors (see below), whose sum is σ = 13029642240. Its totient is φ = 992839680.

The previous prime is 3752971913. The next prime is 3752971927. The reversal of 3752971920 is 291792573.

3752971920 is a `hidden beast` number, since 37 + 529 + 7 + 1 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3752971913) and next prime (3752971927).

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

It is not an unprimeable number, because it can be changed into a prime (3752971927) 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, 267480 + ... + 281160.

It is an arithmetic number, because the mean of its divisors is an integer number (81435264).

Almost surely, 2^3752971920 is an apocalyptic number.

3752971920 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 3752971920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6514821120).

3752971920 is an abundant number, since it is smaller than the sum of its proper divisors (9276670320).

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

3752971920 is a wasteful number, since it uses less digits than its factorization.

3752971920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13830 (or 13818 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 3752971920 is about 61261.5043889717. The cubic root of 3752971920 is about 1554.0265644451.

The spelling of 3752971920 in words is "three billion, seven hundred fifty-two million, nine hundred seventy-one thousand, nine hundred twenty".