34126680 has 64 divisors (see below), whose sum is σ = 117008640. Its totient is φ = 7800192.

The previous prime is 34126669. The next prime is 34126693. The reversal of 34126680 is 8662143.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 19474 + ... + 21153.

It is an arithmetic number, because the mean of its divisors is an integer number (1828260).

Almost surely, 2^34126680 is an apocalyptic number.

34126680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34126680 is an abundant number, since it is smaller than the sum of its proper divisors (82881960).

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

34126680 is a wasteful number, since it uses less digits than its factorization.

34126680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40648 (or 40644 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 34126680 is about 5841.8045157297. The cubic root of 34126680 is about 324.3630285416.

The spelling of 34126680 in words is "thirty-four million, one hundred twenty-six thousand, six hundred eighty".