34138800 has 240 divisors, whose sum is σ = 126852000. Its totient is φ = 8709120.

The previous prime is 34138787. The next prime is 34138849. The reversal of 34138800 is 883143.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 313146 + ... + 313254.

It is an arithmetic number, because the mean of its divisors is an integer number (528550).

Almost surely, 2^34138800 is an apocalyptic number.

34138800 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 34138800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63426000).

34138800 is an abundant number, since it is smaller than the sum of its proper divisors (92713200).

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

34138800 is a wasteful number, since it uses less digits than its factorization.

34138800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 34138800 is about 5842.8417743423. The cubic root of 34138800 is about 324.4014228868.

The spelling of 34138800 in words is "thirty-four million, one hundred thirty-eight thousand, eight hundred".