34678800 has 360 divisors, whose sum is σ = 140690400. Its totient is φ = 8087040.

The previous prime is 34678799. The next prime is 34678817. The reversal of 34678800 is 887643.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1825191 + ... + 1825209.

Almost surely, 2^34678800 is an apocalyptic number.

34678800 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 34678800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70345200).

34678800 is an abundant number, since it is smaller than the sum of its proper divisors (106011600).

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

34678800 is a wasteful number, since it uses less digits than its factorization.

34678800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 34678800 is about 5888.8708595112. The cubic root of 34678800 is about 326.1029195664.

The spelling of 34678800 in words is "thirty-four million, six hundred seventy-eight thousand, eight hundred".