34780800 has 96 divisors (see below), whose sum is σ = 114590880. Its totient is φ = 9272320.

The previous prime is 34780789. The next prime is 34780813. The reversal of 34780800 is 808743.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7789 + ... + 11411.

It is an arithmetic number, because the mean of its divisors is an integer number (1193655).

Almost surely, 2^34780800 is an apocalyptic number.

34780800 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 34780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57295440).

34780800 is an abundant number, since it is smaller than the sum of its proper divisors (79810080).

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

34780800 is a wasteful number, since it uses less digits than its factorization.

34780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3650 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 34780800 is about 5897.5249045680. The cubic root of 34780800 is about 326.4223264236.

The spelling of 34780800 in words is "thirty-four million, seven hundred eighty thousand, eight hundred".