34257937921 has 3 divisors (see below), whose sum is σ = 34258123011. Its totient is φ = 34257752832.

The previous prime is 34257937919. The next prime is 34257937993. The reversal of 34257937921 is 12973975243.

The square root of 34257937921 is 185089.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 12973975243 = 563 ⋅23044361.

It can be written as a sum of positive squares in only one way, i.e., 12401272321 + 21856665600 = 111361^2 + 147840^2 .

It is not a de Polignac number, because 34257937921 - 2¹ = 34257937919 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34257937321) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 92545 + ... + 277633.

It is an arithmetic number, because the mean of its divisors is an integer number (11419374337).

Almost surely, 2^34257937921 is an apocalyptic number.

34257937921 is the 185089-th square number.

34257937921 is the 92545-th centered octagonal number.

It is an amenable number.

34257937921 is a deficient number, since it is larger than the sum of its proper divisors (185090).

34257937921 is an frugal number, since it uses more digits than its factorization.

34257937921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370178 (or 185089 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 52.

The spelling of 34257937921 in words is "thirty-four billion, two hundred fifty-seven million, nine hundred thirty-seven thousand, nine hundred twenty-one".