34354800 has 120 divisors (see below), whose sum is σ = 122316080. Its totient is φ = 9158400.

The previous prime is 34354787. The next prime is 34354813. The reversal of 34354800 is 845343.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34354787) and next prime (34354813).

It is a tau number, because it is divible by the number of its divisors (120).

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, 9210 + ... + 12390.

Almost surely, 2^34354800 is an apocalyptic number.

34354800 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 34354800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61158040).

34354800 is an abundant number, since it is smaller than the sum of its proper divisors (87961280).

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

34354800 is a wasteful number, since it uses less digits than its factorization.

34354800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3208 (or 3191 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 34354800 is about 5861.2967848421. The cubic root of 34354800 is about 325.0841596643.

The spelling of 34354800 in words is "thirty-four million, three hundred fifty-four thousand, eight hundred".