29817000976 has 75 divisors (see below), whose sum is σ = 67471420733. Its totient is φ = 12764209920.

The previous prime is 29817000953. The next prime is 29817001003. The reversal of 29817000976 is 67900071892.

It is a happy number.

The square root of 29817000976 is 172676.

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., 5230760976 + 24586240000 = 72324^2 + 156800^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 33844056 + ... + 33844936.

Almost surely, 2^29817000976 is an apocalyptic number.

29817000976 is the 172676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29817000976

29817000976 is an abundant number, since it is smaller than the sum of its proper divisors (37654419757).

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

29817000976 is an frugal number, since it uses more digits than its factorization.

29817000976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 49.

Multiplying 29817000976 by its sum of digits (49), we get a square (1461033047824 = 1208732²).

29817000976 divided by its sum of digits (49) gives a square (608510224 = 24668²).

The spelling of 29817000976 in words is "twenty-nine billion, eight hundred seventeen million, nine hundred seventy-six", and thus it is an aban number.