34049953 has 16 divisors (see below), whose sum is σ = 40796800. Its totient is φ = 28386288.

The previous prime is 34049947. The next prime is 34049989. The reversal of 34049953 is 35994043.

It is not a de Polignac number, because 34049953 - 2⁹ = 34049441 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34049923) 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, 11350 + ... + 14032.

It is an arithmetic number, because the mean of its divisors is an integer number (2549800).

Almost surely, 2^34049953 is an apocalyptic number.

It is an amenable number.

34049953 is a deficient number, since it is larger than the sum of its proper divisors (6746847).

34049953 is an equidigital number, since it uses as much as digits as its factorization.

34049953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 37.

The square root of 34049953 is about 5835.2337571001. The cubic root of 34049953 is about 324.1197577159.

The spelling of 34049953 in words is "thirty-four million, forty-nine thousand, nine hundred fifty-three".