3979245600 has 432 divisors, whose sum is σ = 15647748480. Its totient is φ = 943257600.

The previous prime is 3979245593. The next prime is 3979245637. The reversal of 3979245600 is 65429793.

It is a happy number.

3979245600 is a `hidden beast` number, since 39 + 7 + 9 + 2 + 4 + 5 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3721866 + ... + 3722934.

It is an arithmetic number, because the mean of its divisors is an integer number (36221640).

Almost surely, 2^3979245600 is an apocalyptic number.

3979245600 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 3979245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7823874240).

3979245600 is an abundant number, since it is smaller than the sum of its proper divisors (11668502880).

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

3979245600 is a wasteful number, since it uses less digits than its factorization.

3979245600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3979245600 is about 63081.2618770424. The cubic root of 3979245600 is about 1584.6508268307.

The spelling of 3979245600 in words is "three billion, nine hundred seventy-nine million, two hundred forty-five thousand, six hundred".