34540512 has 48 divisors (see below), whose sum is σ = 91026432. Its totient is φ = 11468160.

The previous prime is 34540511. The next prime is 34540523. The reversal of 34540512 is 21504543.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34540511) 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 7 ways as a sum of consecutive naturals, for example, 31233 + ... + 32319.

It is an arithmetic number, because the mean of its divisors is an integer number (1896384).

Almost surely, 2^34540512 is an apocalyptic number.

34540512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34540512 is an abundant number, since it is smaller than the sum of its proper divisors (56485920).

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

34540512 is a wasteful number, since it uses less digits than its factorization.

34540512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 34540512 is about 5877.1176608947. The cubic root of 34540512 is about 325.6688772824.

The spelling of 34540512 in words is "thirty-four million, five hundred forty thousand, five hundred twelve".