3962631456 has 480 divisors, whose sum is σ = 14621523840. Its totient is φ = 1026514944.

The previous prime is 3962631433. The next prime is 3962631457. The reversal of 3962631456 is 6541362693.

3962631456 is a `hidden beast` number, since 3 + 9 + 6 + 2 + 631 + 4 + 5 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (3962631457) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8944771 + ... + 8945213.

It is an arithmetic number, because the mean of its divisors is an integer number (30461508).

Almost surely, 2^3962631456 is an apocalyptic number.

3962631456 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 3962631456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7310761920).

3962631456 is an abundant number, since it is smaller than the sum of its proper divisors (10658892384).

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

3962631456 is a wasteful number, since it uses less digits than its factorization.

3962631456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 501 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 3962631456 is about 62949.4357083525. The cubic root of 3962631456 is about 1582.4423392661.

The spelling of 3962631456 in words is "three billion, nine hundred sixty-two million, six hundred thirty-one thousand, four hundred fifty-six".