3976874496 has 600 divisors, whose sum is σ = 14675712480. Its totient is φ = 1065996288.

The previous prime is 3976874471. The next prime is 3976874521. The reversal of 3976874496 is 6944786793.

3976874496 is a `hidden beast` number, since 3 + 9 + 76 + 8 + 74 + 496 = 666.

It is an interprime number because it is at equal distance from previous prime (3976874471) and next prime (3976874521).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 38610381 + ... + 38610483.

Almost surely, 2^3976874496 is an apocalyptic number.

3976874496 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 3976874496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7337856240).

3976874496 is an abundant number, since it is smaller than the sum of its proper divisors (10698837984).

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

3976874496 is a wasteful number, since it uses less digits than its factorization.

3976874496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 134 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The square root of 3976874496 is about 63062.4650326960. The cubic root of 3976874496 is about 1584.3360168693.

The spelling of 3976874496 in words is "three billion, nine hundred seventy-six million, eight hundred seventy-four thousand, four hundred ninety-six".