34974307832464 has 675 divisors, whose sum is σ = 94537814522697. Its totient is φ = 12518560454400.

The previous prime is 34974307832441. The next prime is 34974307832501. The reversal of 34974307832464 is 46423870347943.

The square root of 34974307832464 is 5913908.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5173714176400 + 29800593656064 = 2274580^2 + 5458992^2 .

It is a super-2 number, since 2×34974307832464² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34974307832396 and 34974307832405.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 165755013319 + ... + 165755013529.

Almost surely, 2^{34974307832464} is an apocalyptic number.

34974307832464 is the 5913908-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34974307832464

34974307832464 is an abundant number, since it is smaller than the sum of its proper divisors (59563506690233).

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

34974307832464 is an equidigital number, since it uses as much as digits as its factorization.

34974307832464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 64.

The spelling of 34974307832464 in words is "thirty-four trillion, nine hundred seventy-four billion, three hundred seven million, eight hundred thirty-two thousand, four hundred sixty-four".