3792971520 has 864 divisors, whose sum is σ = 15713617920. Its totient is φ = 836075520.

The previous prime is 3792971471. The next prime is 3792971531. The reversal of 3792971520 is 251792973.

3792971520 is a `hidden beast` number, since 37 + 9 + 2 + 97 + 1 + 520 = 666.

It is a super-2 number, since 2×3792971520² = 28773265903062220800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88208619 + ... + 88208661.

Almost surely, 2^3792971520 is an apocalyptic number.

3792971520 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 3792971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7856808960).

3792971520 is an abundant number, since it is smaller than the sum of its proper divisors (11920646400).

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

3792971520 is a wasteful number, since it uses less digits than its factorization.

3792971520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 116 counting only the distinct ones).

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

The square root of 3792971520 is about 61587.1051438530. The cubic root of 3792971520 is about 1559.5280623701.

The spelling of 3792971520 in words is "three billion, seven hundred ninety-two million, nine hundred seventy-one thousand, five hundred twenty".