3953713920 has 144 divisors (see below), whose sum is σ = 13598666592. Its totient is φ = 973209600.

The previous prime is 3953713909. The next prime is 3953713937. The reversal of 3953713920 is 293173593.

It is a super-3 number, since 3×3953713920³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10320 + ... + 89520.

Almost surely, 2^3953713920 is an apocalyptic number.

3953713920 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 3953713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6799333296).

3953713920 is an abundant number, since it is smaller than the sum of its proper divisors (9644952672).

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

3953713920 is a wasteful number, since it uses less digits than its factorization.

3953713920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79238 (or 79224 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 42.

The square root of 3953713920 is about 62878.5648691190. The cubic root of 3953713920 is about 1581.2544009418.

The spelling of 3953713920 in words is "three billion, nine hundred fifty-three million, seven hundred thirteen thousand, nine hundred twenty".