34829400 has 48 divisors (see below), whose sum is σ = 107973000. Its totient is φ = 9287680.

The previous prime is 34829393. The next prime is 34829419. The reversal of 34829400 is 492843.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 28425 + ... + 29624.

Almost surely, 2^34829400 is an apocalyptic number.

34829400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34829400 is an abundant number, since it is smaller than the sum of its proper divisors (73143600).

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

34829400 is a wasteful number, since it uses less digits than its factorization.

34829400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58068 (or 58059 counting only the distinct ones).

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

The square root of 34829400 is about 5901.6438387961. The cubic root of 34829400 is about 326.5742947672.

The spelling of 34829400 in words is "thirty-four million, eight hundred twenty-nine thousand, four hundred".