34780374 has 64 divisors (see below), whose sum is σ = 82368000. Its totient is φ = 10847520.

The previous prime is 34780363. The next prime is 34780391. The reversal of 34780374 is 47308743.

34780374 = 510² + 511² + ... + 618².

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111679 + ... + 111989.

It is an arithmetic number, because the mean of its divisors is an integer number (1287000).

Almost surely, 2^34780374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34780374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41184000).

34780374 is an abundant number, since it is smaller than the sum of its proper divisors (47587626).

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

34780374 is a wasteful number, since it uses less digits than its factorization.

34780374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 34780374 is about 5897.4887876112. The cubic root of 34780374 is about 326.4209937297.

The spelling of 34780374 in words is "thirty-four million, seven hundred eighty thousand, three hundred seventy-four".