3976015680 has 672 divisors, whose sum is σ = 17402860800. Its totient is φ = 836739072.

The previous prime is 3976015679. The next prime is 3976015697. The reversal of 3976015680 is 865106793.

It is a happy number.

3976015680 is a `hidden beast` number, since 39 + 7 + 601 + 5 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10220926 + ... + 10221314.

Almost surely, 2^3976015680 is an apocalyptic number.

3976015680 is a gapful number since it is divisible by the number (30) 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 3976015680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8701430400).

3976015680 is an abundant number, since it is smaller than the sum of its proper divisors (13426845120).

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

3976015680 is a wasteful number, since it uses less digits than its factorization.

3976015680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 3976015680 is about 63055.6554164652. The cubic root of 3976015680 is about 1584.2219615495.

The spelling of 3976015680 in words is "three billion, nine hundred seventy-six million, fifteen thousand, six hundred eighty".