3916200960 has 880 divisors, whose sum is σ = 17120125440. Its totient is φ = 836075520.

The previous prime is 3916200949. The next prime is 3916200973. The reversal of 3916200960 is 690026193.

3916200960 is a `hidden beast` number, since 391 + 6 + 200 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 55157725 + ... + 55157795.

It is an arithmetic number, because the mean of its divisors is an integer number (19454688).

Almost surely, 2^3916200960 is an apocalyptic number.

3916200960 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 3916200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8560062720).

3916200960 is an abundant number, since it is smaller than the sum of its proper divisors (13203924480).

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

3916200960 is a wasteful number, since it uses less digits than its factorization.

3916200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 3916200960 is about 62579.5570454122. The cubic root of 3916200960 is about 1576.2375036087.

The spelling of 3916200960 in words is "three billion, nine hundred sixteen million, two hundred thousand, nine hundred sixty".