34349400 has 96 divisors (see below), whose sum is σ = 118333200. Its totient is φ = 9158400.

The previous prime is 34349383. The next prime is 34349411. The reversal of 34349400 is 494343.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2220 + ... + 8580.

Almost surely, 2^34349400 is an apocalyptic number.

34349400 is a gapful number since it is divisible by the number (30) 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 34349400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59166600).

34349400 is an abundant number, since it is smaller than the sum of its proper divisors (83983800).

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

34349400 is a wasteful number, since it uses less digits than its factorization.

34349400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6386 (or 6371 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 34349400 is about 5860.8361178248. The cubic root of 34349400 is about 325.0671261741.

The spelling of 34349400 in words is "thirty-four million, three hundred forty-nine thousand, four hundred".