34404066576432 has 400 divisors, whose sum is σ = 124998165557760. Its totient is φ = 8907491856384.

The previous prime is 34404066576421. The next prime is 34404066576569. The reversal of 34404066576432 is 23467566040443.

34404066576432 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 4 + 0 + 66 + 576 + 4 + 3 + 2 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 374593 + ... + 8303520.

Almost surely, 2^{34404066576432} 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 34404066576432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62499082778880).

34404066576432 is an abundant number, since it is smaller than the sum of its proper divisors (90594098981328).

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

34404066576432 is a wasteful number, since it uses less digits than its factorization.

34404066576432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8678182 (or 8678167 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 54.

The spelling of 34404066576432 in words is "thirty-four trillion, four hundred four billion, sixty-six million, five hundred seventy-six thousand, four hundred thirty-two".