3976859376 has 160 divisors (see below), whose sum is σ = 13260262400. Its totient is φ = 1117566720.

The previous prime is 3976859371. The next prime is 3976859387. The reversal of 3976859376 is 6739586793.

3976859376 is a `hidden beast` number, since 39 + 7 + 6 + 8 + 593 + 7 + 6 = 666.

It is a super-3 number, since 3×3976859376³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3976859371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173685 + ... + 195243.

It is an arithmetic number, because the mean of its divisors is an integer number (82876640).

Almost surely, 2^3976859376 is an apocalyptic number.

3976859376 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 3976859376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6630131200).

3976859376 is an abundant number, since it is smaller than the sum of its proper divisors (9283403024).

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

3976859376 is a wasteful number, since it uses less digits than its factorization.

3976859376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21644 (or 21632 counting only the distinct ones).

The product of its digits is 51438240, while the sum is 63.

The square root of 3976859376 is about 63062.3451514452. The cubic root of 3976859376 is about 1584.3340089952.

The spelling of 3976859376 in words is "three billion, nine hundred seventy-six million, eight hundred fifty-nine thousand, three hundred seventy-six".