3407439429120 has 160 divisors (see below), whose sum is σ = 10942011666432. Its totient is φ = 904575393792.

The previous prime is 3407439429049. The next prime is 3407439429127. The reversal of 3407439429120 is 219249347043.

3407439429120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×3407439429120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3407439429120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3407439429127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 717849 + ... + 2707431.

Almost surely, 2^{3407439429120} is an apocalyptic number.

3407439429120 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 3407439429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5471005833216).

3407439429120 is an abundant number, since it is smaller than the sum of its proper divisors (7534572237312).

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

3407439429120 is a wasteful number, since it uses less digits than its factorization.

3407439429120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989832 (or 1989816 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 3407439429120 in words is "three trillion, four hundred seven billion, four hundred thirty-nine million, four hundred twenty-nine thousand, one hundred twenty".