34670584049664 has 208 divisors, whose sum is σ = 93190440752640. Its totient is φ = 11463574487040.

The previous prime is 34670584049663. The next prime is 34670584049687. The reversal of 34670584049664 is 46694048507643.

It is a junction number, because it is equal to n+sod(n) for n = 34670584049595 and 34670584049604.

It is not an unprimeable number, because it can be changed into a prime (34670584049663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5970478249 + ... + 5970484055.

Almost surely, 2^{34670584049664} 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 34670584049664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46595220376320).

34670584049664 is an abundant number, since it is smaller than the sum of its proper divisors (58519856702976).

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

34670584049664 is a wasteful number, since it uses less digits than its factorization.

34670584049664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9674 (or 9652 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 66.

The spelling of 34670584049664 in words is "thirty-four trillion, six hundred seventy billion, five hundred eighty-four million, forty-nine thousand, six hundred sixty-four".