34788993 has 16 divisors (see below), whose sum is σ = 47251200. Its totient is φ = 22763520.

The previous prime is 34788979. The next prime is 34789003. The reversal of 34788993 is 39988743.

It is not a de Polignac number, because 34788993 - 2⁵ = 34788961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34788973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53953 + ... + 54593.

It is an arithmetic number, because the mean of its divisors is an integer number (2953200).

Almost surely, 2^34788993 is an apocalyptic number.

It is an amenable number.

34788993 is a deficient number, since it is larger than the sum of its proper divisors (12462207).

34788993 is a wasteful number, since it uses less digits than its factorization.

34788993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952.

The product of its digits is 1306368, while the sum is 51.

The square root of 34788993 is about 5898.2194770965. The cubic root of 34788993 is about 326.4479552011.

The spelling of 34788993 in words is "thirty-four million, seven hundred eighty-eight thousand, nine hundred ninety-three".