3962462976 has 108 divisors (see below), whose sum is σ = 11848082792. Its totient is φ = 1320800256.

The previous prime is 3962462963. The next prime is 3962462983. The reversal of 3962462976 is 6792642693.

3962462976 is a `hidden beast` number, since 3 + 9 + 6 + 2 + 4 + 629 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×3962462976² = 31402225672341553152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30360 + ... + 94056.

Almost surely, 2^3962462976 is an apocalyptic number.

3962462976 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 3962462976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5924041396).

3962462976 is an abundant number, since it is smaller than the sum of its proper divisors (7885619816).

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

3962462976 is an frugal number, since it uses more digits than its factorization.

3962462976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63728 (or 63702 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The square root of 3962462976 is about 62948.0974772074. The cubic root of 3962462976 is about 1582.4199119416.

The spelling of 3962462976 in words is "three billion, nine hundred sixty-two million, four hundred sixty-two thousand, nine hundred seventy-six".