34398120 has 32 divisors (see below), whose sum is σ = 103194720. Its totient is φ = 9172800.

The previous prime is 34398107. The next prime is 34398131. The reversal of 34398120 is 2189343.

34398120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143206 + ... + 143445.

It is an arithmetic number, because the mean of its divisors is an integer number (3224835).

Almost surely, 2^34398120 is an apocalyptic number.

34398120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34398120 is an abundant number, since it is smaller than the sum of its proper divisors (68796600).

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

34398120 is a wasteful number, since it uses less digits than its factorization.

34398120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286665 (or 286661 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 34398120 is about 5864.9910485865. The cubic root of 34398120 is about 325.2207415561.

The spelling of 34398120 in words is "thirty-four million, three hundred ninety-eight thousand, one hundred twenty".