3407430368736 has 96 divisors (see below), whose sum is σ = 10064140531200. Its totient is φ = 1121432757120.

The previous prime is 3407430368647. The next prime is 3407430368773. The reversal of 3407430368736 is 6378630347043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3407430368736² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24892410 + ... + 25028921.

It is an arithmetic number, because the mean of its divisors is an integer number (104834797200).

Almost surely, 2^{3407430368736} is an apocalyptic number.

3407430368736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3407430368736 is an abundant number, since it is smaller than the sum of its proper divisors (6656710162464).

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

3407430368736 is a wasteful number, since it uses less digits than its factorization.

3407430368736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49921429 (or 49921415 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 54.

The spelling of 3407430368736 in words is "three trillion, four hundred seven billion, four hundred thirty million, three hundred sixty-eight thousand, seven hundred thirty-six".