3914918908320 has 384 divisors, whose sum is σ = 14689630126080. Its totient is φ = 857562992640.

The previous prime is 3914918908261. The next prime is 3914918908321. The reversal of 3914918908320 is 238098194193.

It is not an unprimeable number, because it can be changed into a prime (3914918908321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10546026 + ... + 10910934.

It is an arithmetic number, because the mean of its divisors is an integer number (38254245120).

Almost surely, 2^{3914918908320} is an apocalyptic number.

3914918908320 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 3914918908320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7344815063040).

3914918908320 is an abundant number, since it is smaller than the sum of its proper divisors (10774711217760).

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

3914918908320 is a wasteful number, since it uses less digits than its factorization.

3914918908320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365068 (or 365060 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 57.

The spelling of 3914918908320 in words is "three trillion, nine hundred fourteen billion, nine hundred eighteen million, nine hundred eight thousand, three hundred twenty".