3976153920 has 280 divisors, whose sum is σ = 14264018208. Its totient is φ = 1051315200.

The previous prime is 3976153889. The next prime is 3976153931. The reversal of 3976153920 is 293516793.

3976153920 is a `hidden beast` number, since 3 + 9 + 7 + 615 + 3 + 9 + 20 = 666.

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 39 ways as a sum of consecutive naturals, for example, 3394935 + ... + 3396105.

Almost surely, 2^3976153920 is an apocalyptic number.

3976153920 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 3976153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7132009104).

3976153920 is an abundant number, since it is smaller than the sum of its proper divisors (10287864288).

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

3976153920 is a wasteful number, since it uses less digits than its factorization.

3976153920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 3976153920 is about 63056.7515814128. The cubic root of 3976153920 is about 1584.2403216637.

The spelling of 3976153920 in words is "three billion, nine hundred seventy-six million, one hundred fifty-three thousand, nine hundred twenty".