3915640382976 has 720 divisors, whose sum is σ = 14073159260160. Its totient is φ = 1082613288960.

The previous prime is 3915640382971. The next prime is 3915640382987. The reversal of 3915640382976 is 6792830465193.

3915640382976 is a `hidden beast` number, since 3 + 9 + 156 + 403 + 8 + 2 + 9 + 76 = 666.

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 (3915640382971) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 188977545 + ... + 188998263.

It is an arithmetic number, because the mean of its divisors is an integer number (19546054528).

It is a 1-persistent number, because it is pandigital, but 2⋅3915640382976 = 7831280765952 is not.

Almost surely, 2^{3915640382976} is an apocalyptic number.

3915640382976 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 3915640382976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7036579630080).

3915640382976 is an abundant number, since it is smaller than the sum of its proper divisors (10157518877184).

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

3915640382976 is an equidigital number, since it uses as much as digits as its factorization.

3915640382976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20797 (or 20762 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 3915640382976 in words is "three trillion, nine hundred fifteen billion, six hundred forty million, three hundred eighty-two thousand, nine hundred seventy-six".