3954379968 has 504 divisors, whose sum is σ = 14743931904. Its totient is φ = 1001548800.

The previous prime is 3954379967. The next prime is 3954379973. The reversal of 3954379968 is 8699734593.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3954379967) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14591673 + ... + 14591943.

Almost surely, 2^3954379968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3954379968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7371965952).

3954379968 is an abundant number, since it is smaller than the sum of its proper divisors (10789551936).

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

3954379968 is a wasteful number, since it uses less digits than its factorization.

3954379968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 341 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 63.

The square root of 3954379968 is about 62883.8609501675. The cubic root of 3954379968 is about 1581.3431893753.

The spelling of 3954379968 in words is "three billion, nine hundred fifty-four million, three hundred seventy-nine thousand, nine hundred sixty-eight".