3429060404616 has 192 divisors, whose sum is σ = 12087597384000. Its totient is φ = 890665009920.

The previous prime is 3429060404593. The next prime is 3429060404663. The reversal of 3429060404616 is 6164040609243.

3429060404616 is a `hidden beast` number, since 3 + 4 + 2 + 90 + 60 + 40 + 461 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14610181 + ... + 14843028.

It is an arithmetic number, because the mean of its divisors is an integer number (62956236375).

Almost surely, 2^{3429060404616} is an apocalyptic number.

3429060404616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3429060404616 is an abundant number, since it is smaller than the sum of its proper divisors (8658536979384).

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

3429060404616 is a wasteful number, since it uses less digits than its factorization.

3429060404616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29453249 (or 29453232 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 3429060404616 in words is "three trillion, four hundred twenty-nine billion, sixty million, four hundred four thousand, six hundred sixteen".