34008057 has 12 divisors (see below), whose sum is σ = 49675860. Its totient is φ = 22416768.

The previous prime is 34008019. The next prime is 34008059. The reversal of 34008057 is 75080043.

It can be written as a sum of positive squares in 2 ways, for example, as 19900521 + 14107536 = 4461^2 + 3756^2 .

It is not a de Polignac number, because 34008057 - 2¹⁴ = 33991673 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34008057.

It is not an unprimeable number, because it can be changed into a prime (34008059) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20428 + ... + 22029.

It is an arithmetic number, because the mean of its divisors is an integer number (4139655).

Almost surely, 2^34008057 is an apocalyptic number.

It is an amenable number.

34008057 is a deficient number, since it is larger than the sum of its proper divisors (15667803).

34008057 is a wasteful number, since it uses less digits than its factorization.

34008057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42552 (or 42549 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 34008057 is about 5831.6427359707. The cubic root of 34008057 is about 323.9867678638.

The spelling of 34008057 in words is "thirty-four million, eight thousand, fifty-seven".