34920004742784 has 960 divisors, whose sum is σ = 124029988045920. Its totient is φ = 9720945561600.

The previous prime is 34920004742771. The next prime is 34920004742803. The reversal of 34920004742784 is 48724740002943.

34920004742784 is a `hidden beast` number, since 3 + 4 + 9 + 200 + 0 + 4 + 7 + 427 + 8 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34920004742784.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3315919599 + ... + 3315930129.

Almost surely, 2^{34920004742784} 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 34920004742784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62014994022960).

34920004742784 is an abundant number, since it is smaller than the sum of its proper divisors (89109983303136).

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

34920004742784 is a wasteful number, since it uses less digits than its factorization.

34920004742784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10739 (or 10711 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 34920004742784 in words is "thirty-four trillion, nine hundred twenty billion, four million, seven hundred forty-two thousand, seven hundred eighty-four".