3913484440320 has 2592 divisors, whose sum is σ = 18287222833152. Its totient is φ = 780201787392.

The previous prime is 3913484440303. The next prime is 3913484440363. The reversal of 3913484440320 is 230444843193.

3913484440320 is a `hidden beast` number, since 39 + 134 + 84 + 4 + 403 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10217974849 + ... + 10217975231.

Almost surely, 2^{3913484440320} is an apocalyptic number.

3913484440320 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 3913484440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9143611416576).

3913484440320 is an abundant number, since it is smaller than the sum of its proper divisors (14373738392832).

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

3913484440320 is a wasteful number, since it uses less digits than its factorization.

3913484440320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 3913484440320 in words is "three trillion, nine hundred thirteen billion, four hundred eighty-four million, four hundred forty thousand, three hundred twenty".