34055400 has 96 divisors (see below), whose sum is σ = 106466400. Its totient is φ = 9004800.

The previous prime is 34055393. The next prime is 34055419. The reversal of 34055400 is 455043.

It is a happy 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 23 ways as a sum of consecutive naturals, for example, 126466 + ... + 126734.

It is an arithmetic number, because the mean of its divisors is an integer number (1109025).

Almost surely, 2^34055400 is an apocalyptic number.

34055400 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 34055400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53233200).

34055400 is an abundant number, since it is smaller than the sum of its proper divisors (72411000).

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

34055400 is a wasteful number, since it uses less digits than its factorization.

34055400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 34055400 is about 5835.7004720942. The cubic root of 34055400 is about 324.1370400323.

The spelling of 34055400 in words is "thirty-four million, fifty-five thousand, four hundred".