3976408800 has 1296 divisors, whose sum is σ = 19138306320. Its totient is φ = 789626880.

The previous prime is 3976408753. The next prime is 3976408811. The reversal of 3976408800 is 88046793.

It is a happy number.

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 215 ways as a sum of consecutive naturals, for example, 233906392 + ... + 233906408.

Almost surely, 2^3976408800 is an apocalyptic number.

3976408800 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 3976408800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9569153160).

3976408800 is an abundant number, since it is smaller than the sum of its proper divisors (15161897520).

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

3976408800 is a wasteful number, since it uses less digits than its factorization.

3976408800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3976408800 is about 63058.7725855808. The cubic root of 3976408800 is about 1584.2741720087.

The spelling of 3976408800 in words is "three billion, nine hundred seventy-six million, four hundred eight thousand, eight hundred".