3976526400 has 1008 divisors, whose sum is σ = 17450043840. Its totient is φ = 782745600.

The previous prime is 3976526399. The next prime is 3976526413. The reversal of 3976526400 is 46256793.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75028774 + ... + 75028826.

Almost surely, 2^3976526400 is an apocalyptic number.

3976526400 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 3976526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8725021920).

3976526400 is an abundant number, since it is smaller than the sum of its proper divisors (13473517440).

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

3976526400 is a wasteful number, since it uses less digits than its factorization.

3976526400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 3976526400 is about 63059.7050421265. The cubic root of 3976526400 is about 1584.2897898534.

The spelling of 3976526400 in words is "three billion, nine hundred seventy-six million, five hundred twenty-six thousand, four hundred".