34249761 has 96 divisors (see below), whose sum is σ = 67092480. Its totient is φ = 16329600.

The previous prime is 34249759. The next prime is 34249769. The reversal of 34249761 is 16794243.

It is not a de Polignac number, because 34249761 - 2¹ = 34249759 is a prime.

It is a super-2 number, since 2×34249761² = 2346092257114242, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (36288) is a multiple of the sum of its prime divisors (144).

It is not an unprimeable number, because it can be changed into a prime (34249769) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 482356 + ... + 482426.

It is an arithmetic number, because the mean of its divisors is an integer number (698880).

Almost surely, 2^34249761 is an apocalyptic number.

34249761 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34249761 is a deficient number, since it is larger than the sum of its proper divisors (32842719).

34249761 is a wasteful number, since it uses less digits than its factorization.

34249761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 144 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 34249761 is about 5852.3295361762. The cubic root of 34249761 is about 324.7525090167.

The spelling of 34249761 in words is "thirty-four million, two hundred forty-nine thousand, seven hundred sixty-one".