3979076400 has 720 divisors, whose sum is σ = 15984643584. Its totient is φ = 944317440.

The previous prime is 3979076377. The next prime is 3979076401. The reversal of 3979076400 is 46709793.

3979076400 is a `hidden beast` number, since 3 + 97 + 90 + 76 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3979076401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 59389167 + ... + 59389233.

Almost surely, 2^3979076400 is an apocalyptic number.

3979076400 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 3979076400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7992321792).

3979076400 is an abundant number, since it is smaller than the sum of its proper divisors (12005567184).

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

3979076400 is a wasteful number, since it uses less digits than its factorization.

3979076400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 3979076400 is about 63079.9207355241. The cubic root of 3979076400 is about 1584.6283663991.

The spelling of 3979076400 in words is "three billion, nine hundred seventy-nine million, seventy-six thousand, four hundred".