3430683605376 has 96 divisors (see below), whose sum is σ = 9937528414320. Its totient is φ = 1135987891200.

The previous prime is 3430683605341. The next prime is 3430683605381. The reversal of 3430683605376 is 6735063860343.

3430683605376 is a `hidden beast` number, since 3 + 43 + 0 + 6 + 8 + 3 + 60 + 537 + 6 = 666.

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

It is a super-2 number, since 2×3430683605376² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9687055 + ... + 10034958.

Almost surely, 2^{3430683605376} is an apocalyptic number.

3430683605376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3430683605376 is an abundant number, since it is smaller than the sum of its proper divisors (6506844808944).

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

3430683605376 is a wasteful number, since it uses less digits than its factorization.

3430683605376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19722184 (or 19722169 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 54.

The spelling of 3430683605376 in words is "three trillion, four hundred thirty billion, six hundred eighty-three million, six hundred five thousand, three hundred seventy-six".