3976496496 has 160 divisors (see below), whose sum is σ = 13611985920. Its totient is φ = 1086725376.

The previous prime is 3976496483. The next prime is 3976496591. The reversal of 3976496496 is 6946946793.

3976496496 is a `hidden beast` number, since 39 + 76 + 49 + 6 + 496 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40966 + ... + 98138.

It is an arithmetic number, because the mean of its divisors is an integer number (85074912).

Almost surely, 2^3976496496 is an apocalyptic number.

3976496496 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 3976496496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6805992960).

3976496496 is an abundant number, since it is smaller than the sum of its proper divisors (9635489424).

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

3976496496 is a wasteful number, since it uses less digits than its factorization.

3976496496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57220 (or 57208 counting only the distinct ones).

The product of its digits is 52907904, while the sum is 63.

The square root of 3976496496 is about 63059.4679330551. The cubic root of 3976496496 is about 1584.2858184878.

The spelling of 3976496496 in words is "three billion, nine hundred seventy-six million, four hundred ninety-six thousand, four hundred ninety-six".