34372512 has 120 divisors (see below), whose sum is σ = 102910500. Its totient is φ = 11252736.

The previous prime is 34372493. The next prime is 34372531. The reversal of 34372512 is 21527343.

It is an interprime number because it is at equal distance from previous prime (34372493) and next prime (34372531).

It can be written as a sum of positive squares in 2 ways, for example, as 29550096 + 4822416 = 5436^2 + 2196^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 230614 + ... + 230762.

Almost surely, 2^34372512 is an apocalyptic number.

34372512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34372512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51455250).

34372512 is an abundant number, since it is smaller than the sum of its proper divisors (68537988).

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

34372512 is a wasteful number, since it uses less digits than its factorization.

34372512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 243 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 34372512 is about 5862.8075185870. The cubic root of 34372512 is about 325.1400169866.

Adding to 34372512 its reverse (21527343), we get a palindrome (55899855).

The spelling of 34372512 in words is "thirty-four million, three hundred seventy-two thousand, five hundred twelve".