34921649664 has 320 divisors, whose sum is σ = 116671104000. Its totient is φ = 10216120320.

The previous prime is 34921649569. The next prime is 34921649669. The reversal of 34921649664 is 46694612943.

34921649664 is a `hidden beast` number, since 3 + 4 + 92 + 1 + 6 + 496 + 64 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 34921649664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34921649669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4405897 + ... + 4413815.

It is an arithmetic number, because the mean of its divisors is an integer number (364597200).

Almost surely, 2^34921649664 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 34921649664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58335552000).

34921649664 is an abundant number, since it is smaller than the sum of its proper divisors (81749454336).

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

34921649664 is a wasteful number, since it uses less digits than its factorization.

34921649664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7986 (or 7964 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 34921649664 in words is "thirty-four billion, nine hundred twenty-one million, six hundred forty-nine thousand, six hundred sixty-four".