3947961600 has 864 divisors, whose sum is σ = 16545607680. Its totient is φ = 912384000.

The previous prime is 3947961593. The next prime is 3947961637. The reversal of 3947961600 is 61697493.

3947961600 is a `hidden beast` number, since 39 + 4 + 7 + 9 + 6 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58924767 + ... + 58924833.

Almost surely, 2^3947961600 is an apocalyptic number.

3947961600 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 3947961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8272803840).

3947961600 is an abundant number, since it is smaller than the sum of its proper divisors (12597646080).

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

3947961600 is a wasteful number, since it uses less digits than its factorization.

3947961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 3947961600 is about 62832.8067175102. The cubic root of 3947961600 is about 1580.4871648430.

The spelling of 3947961600 in words is "three billion, nine hundred forty-seven million, nine hundred sixty-one thousand, six hundred".