3976412180832 has 1536 divisors, whose sum is σ = 15421412966400. Its totient is φ = 968454144000.

The previous prime is 3976412180821. The next prime is 3976412180843. The reversal of 3976412180832 is 2380812146793.

It is a happy number.

3976412180832 is a `hidden beast` number, since 3 + 9 + 76 + 412 + 1 + 80 + 83 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3976412180821) and next prime (3976412180843).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7138980298 + ... + 7138980854.

It is an arithmetic number, because the mean of its divisors is an integer number (10039982400).

Almost surely, 2^{3976412180832} is an apocalyptic number.

3976412180832 is a gapful number since it is divisible by the number (32) 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 3976412180832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7710706483200).

3976412180832 is an abundant number, since it is smaller than the sum of its proper divisors (11445000785568).

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

3976412180832 is a wasteful number, since it uses less digits than its factorization.

3976412180832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 3976412180832 in words is "three trillion, nine hundred seventy-six billion, four hundred twelve million, one hundred eighty thousand, eight hundred thirty-two".