3916215760320 has 1008 divisors, whose sum is σ = 14956770318048. Its totient is φ = 973191905280.

The previous prime is 3916215760319. The next prime is 3916215760333. The reversal of 3916215760320 is 230675126193.

3916215760320 is a `hidden beast` number, since 3 + 9 + 1 + 6 + 2 + 15 + 7 + 603 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4033177435 + ... + 4033178405.

Almost surely, 2^{3916215760320} is an apocalyptic number.

3916215760320 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 3916215760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7478385159024).

3916215760320 is an abundant number, since it is smaller than the sum of its proper divisors (11040554557728).

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

3916215760320 is an equidigital number, since it uses as much as digits as its factorization.

3916215760320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 3916215760320 in words is "three trillion, nine hundred sixteen billion, two hundred fifteen million, seven hundred sixty thousand, three hundred twenty".