3713920000 has 220 divisors, whose sum is σ = 10615414480. Its totient is φ = 1271808000.

The previous prime is 3713919983. The next prime is 3713920033. The reversal of 3713920000 is 293173.

3713920000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4479586 + ... + 4480414.

It is an arithmetic number, because the mean of its divisors is an integer number (48251884).

Almost surely, 2^3713920000 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 3713920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5307707240).

3713920000 is an abundant number, since it is smaller than the sum of its proper divisors (6901494480).

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

3713920000 is an frugal number, since it uses more digits than its factorization.

3713920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 3713920000 is about 60941.9395818676. The cubic root of 3713920000 is about 1548.6175672470.

The spelling of 3713920000 in words is "three billion, seven hundred thirteen million, nine hundred twenty thousand".