34409407555776 has 672 divisors, whose sum is σ = 109102822850560. Its totient is φ = 9527341824000.

The previous prime is 34409407555763. The next prime is 34409407555799. The reversal of 34409407555776 is 67755570490443.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4200875841 + ... + 4200884031.

Almost surely, 2^{34409407555776} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34409407555776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54551411425280).

34409407555776 is an abundant number, since it is smaller than the sum of its proper divisors (74693415294784).

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

34409407555776 is a wasteful number, since it uses less digits than its factorization.

34409407555776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8585 (or 8564 counting only the distinct ones).

The product of its (nonzero) digits is 444528000, while the sum is 66.

The spelling of 34409407555776 in words is "thirty-four trillion, four hundred nine billion, four hundred seven million, five hundred fifty-five thousand, seven hundred seventy-six".