3953358864 has 360 divisors, whose sum is σ = 14301406080. Its totient is φ = 996323328.

The previous prime is 3953358863. The next prime is 3953358883. The reversal of 3953358864 is 4688533593.

It is a happy number.

3953358864 is a `hidden beast` number, since 3 + 9 + 53 + 3 + 588 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3953358864.

It is not an unprimeable number, because it can be changed into a prime (3953358863) 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, 3917592 + ... + 3918600.

It is an arithmetic number, because the mean of its divisors is an integer number (39726128).

Almost surely, 2^3953358864 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 3953358864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7150703040).

3953358864 is an abundant number, since it is smaller than the sum of its proper divisors (10348047216).

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

3953358864 is a wasteful number, since it uses less digits than its factorization.

3953358864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1057 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The square root of 3953358864 is about 62875.7414588488. The cubic root of 3953358864 is about 1581.2070656446.

The spelling of 3953358864 in words is "three billion, nine hundred fifty-three million, three hundred fifty-eight thousand, eight hundred sixty-four".