34799251029921 has 27 divisors (see below), whose sum is σ = 58472419068531. Its totient is φ = 19885215513744.

The previous prime is 34799251029901. The next prime is 34799251029943. The reversal of 34799251029921 is 12992015299743.

The square root of 34799251029921 is 5899089.

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

34799251029921 is a `hidden beast` number, since 3 + 4 + 7 + 9 + 9 + 2 + 510 + 2 + 99 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34794791461521 + 4459568400 = 5898711^2 + 66780^2 .

It is not a de Polignac number, because 34799251029921 - 2¹⁷ = 34799250898849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (34799251029901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 123740415 + ... + 124021323.

Almost surely, 2^{34799251029921} is an apocalyptic number.

34799251029921 is the 5899089-th square number.

34799251029921 is the 2949545-th centered octagonal number.

It is an amenable number.

34799251029921 is a deficient number, since it is larger than the sum of its proper divisors (23673168038610).

34799251029921 is an frugal number, since it uses more digits than its factorization.

34799251029921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561838 (or 280919 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 34799251029921 in words is "thirty-four trillion, seven hundred ninety-nine billion, two hundred fifty-one million, twenty-nine thousand, nine hundred twenty-one".