34401300 has 36 divisors (see below), whose sum is σ = 99535296. Its totient is φ = 9173600.

The previous prime is 34401299. The next prime is 34401347. The reversal of 34401300 is 310443.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 34401300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57036 + ... + 57635.

Almost surely, 2^34401300 is an apocalyptic number.

34401300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34401300 is an abundant number, since it is smaller than the sum of its proper divisors (65133996).

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

34401300 is a wasteful number, since it uses less digits than its factorization.

34401300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114688 (or 114681 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 34401300 is about 5865.2621424792. The cubic root of 34401300 is about 325.2307631318.

Adding to 34401300 its reverse (310443), we get a palindrome (34711743).

The spelling of 34401300 in words is "thirty-four million, four hundred one thousand, three hundred".