34661502976 has 39 divisors (see below), whose sum is σ = 69338379481. Its totient is φ = 17324793856.

The previous prime is 34661502937. The next prime is 34661502979. The reversal of 34661502976 is 67920516643.

It is a happy number.

The square root of 34661502976 is 186176.

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., 30059237376 + 4602265600 = 173376^2 + 67840^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34661502979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 11913810 + ... + 11916718.

Almost surely, 2^34661502976 is an apocalyptic number.

34661502976 is the 186176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34661502976

34661502976 is an abundant number, since it is smaller than the sum of its proper divisors (34676876505).

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

34661502976 is an frugal number, since it uses more digits than its factorization.

34661502976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5842 (or 2911 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 49.

Multiplying 34661502976 by its sum of digits (49), we get a square (1698413645824 = 1303232²).

The spelling of 34661502976 in words is "thirty-four billion, six hundred sixty-one million, five hundred two thousand, nine hundred seventy-six".