34608921984 has 384 divisors, whose sum is σ = 124906017600. Its totient is φ = 8953970688.

The previous prime is 34608921973. The next prime is 34608922001. The reversal of 34608921984 is 48912980643.

34608921984 is a `hidden beast` number, since 3 + 4 + 608 + 9 + 21 + 9 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 34608921984.

It is a congruent number.

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, 5552982 + ... + 5559210.

Almost surely, 2^34608921984 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 34608921984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62453008800).

34608921984 is an abundant number, since it is smaller than the sum of its proper divisors (90297095616).

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

34608921984 is a wasteful number, since it uses less digits than its factorization.

34608921984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6322 (or 6307 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 34608921984 in words is "thirty-four billion, six hundred eight million, nine hundred twenty-one thousand, nine hundred eighty-four".