3705382416384 has 832 divisors, whose sum is σ = 12781105344000. Its totient is φ = 1048376770560.

The previous prime is 3705382416331. The next prime is 3705382416451. The reversal of 3705382416384 is 4836142835073.

It is a happy number.

3705382416384 is a `hidden beast` number, since 3 + 7 + 0 + 538 + 2 + 41 + 63 + 8 + 4 = 666.

It is a super-3 number, since 3×3705382416384³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3705382416384.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2874617212 + ... + 2874618500.

Almost surely, 2^{3705382416384} is an apocalyptic number.

3705382416384 is a gapful number since it is divisible by the number (34) 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 3705382416384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6390552672000).

3705382416384 is an abundant number, since it is smaller than the sum of its proper divisors (9075722927616).

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

3705382416384 is a wasteful number, since it uses less digits than its factorization.

3705382416384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 3705382416384 in words is "three trillion, seven hundred five billion, three hundred eighty-two million, four hundred sixteen thousand, three hundred eighty-four".