34013889 has 72 divisors (see below), whose sum is σ = 65356200. Its totient is φ = 16837632.

The previous prime is 34013873. The next prime is 34013911. The reversal of 34013889 is 98831043.

It can be written as a sum of positive squares in 4 ways, for example, as 6890625 + 27123264 = 2625^2 + 5208^2 .

It is not a de Polignac number, because 34013889 - 2⁴ = 34013873 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34013489) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 97287 + ... + 97635.

It is an arithmetic number, because the mean of its divisors is an integer number (907725).

Almost surely, 2^34013889 is an apocalyptic number.

34013889 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

34013889 is a deficient number, since it is larger than the sum of its proper divisors (31342311).

34013889 is a wasteful number, since it uses less digits than its factorization.

34013889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 34013889 is about 5832.1427451667. The cubic root of 34013889 is about 324.0052868365.

The spelling of 34013889 in words is "thirty-four million, thirteen thousand, eight hundred eighty-nine".