34778400 has 144 divisors (see below), whose sum is σ = 116180064. Its totient is φ = 9031680.

The previous prime is 34778399. The next prime is 34778431. The reversal of 34778400 is 487743.

It is a happy number.

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, 103032 + ... + 103368.

It is an arithmetic number, because the mean of its divisors is an integer number (806806).

Almost surely, 2^34778400 is an apocalyptic number.

34778400 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 34778400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58090032).

34778400 is an abundant number, since it is smaller than the sum of its proper divisors (81401664).

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

34778400 is a wasteful number, since it uses less digits than its factorization.

34778400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 34778400 is about 5897.3214258678. The cubic root of 34778400 is about 326.4148181469.

The spelling of 34778400 in words is "thirty-four million, seven hundred seventy-eight thousand, four hundred".