34364760 has 64 divisors (see below), whose sum is σ = 107585280. Its totient is φ = 8764800.

The previous prime is 34364753. The next prime is 34364767. The reversal of 34364760 is 6746343.

It is an interprime number because it is at equal distance from previous prime (34364753) and next prime (34364767).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34364767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3466 + ... + 8985.

It is an arithmetic number, because the mean of its divisors is an integer number (1681020).

Almost surely, 2^34364760 is an apocalyptic number.

34364760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34364760 is an abundant number, since it is smaller than the sum of its proper divisors (73220520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34364760 is a wasteful number, since it uses less digits than its factorization.

34364760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12488 (or 12484 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The square root of 34364760 is about 5862.1463646006. The cubic root of 34364760 is about 325.1155723090.

The spelling of 34364760 in words is "thirty-four million, three hundred sixty-four thousand, seven hundred sixty".