34741680624 has 640 divisors, whose sum is σ = 126351912960. Its totient is φ = 8913715200.

The previous prime is 34741680581. The next prime is 34741680643. The reversal of 34741680624 is 42608614743.

34741680624 is a `hidden beast` number, since 3 + 4 + 7 + 4 + 16 + 8 + 0 + 624 = 666.

34741680624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 34741680624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 111709429 + ... + 111709739.

It is an arithmetic number, because the mean of its divisors is an integer number (197424864).

Almost surely, 2^34741680624 is an apocalyptic number.

34741680624 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34741680624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63175956480).

34741680624 is an abundant number, since it is smaller than the sum of its proper divisors (91610232336).

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

34741680624 is a wasteful number, since it uses less digits than its factorization.

34741680624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 34741680624 in words is "thirty-four billion, seven hundred forty-one million, six hundred eighty thousand, six hundred twenty-four".