3812432976 has 240 divisors, whose sum is σ = 12011231232. Its totient is φ = 1118880000.

The previous prime is 3812432963. The next prime is 3812432977. The reversal of 3812432976 is 6792342183.

3812432976 is a `hidden beast` number, since 381 + 243 + 29 + 7 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3812432977) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15188851 + ... + 15189101.

Almost surely, 2^3812432976 is an apocalyptic number.

3812432976 is a gapful number since it is divisible by the number (36) 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 3812432976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6005615616).

3812432976 is an abundant number, since it is smaller than the sum of its proper divisors (8198798256).

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

3812432976 is a wasteful number, since it uses less digits than its factorization.

3812432976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 533 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 3812432976 is about 61744.9024292694. The cubic root of 3812432976 is about 1562.1907878021.

The spelling of 3812432976 in words is "three billion, eight hundred twelve million, four hundred thirty-two thousand, nine hundred seventy-six".