34377400 has 48 divisors (see below), whose sum is σ = 84637440. Its totient is φ = 12940800.

The previous prime is 34377391. The next prime is 34377463. The reversal of 34377400 is 477343.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1656 + ... + 8455.

It is an arithmetic number, because the mean of its divisors is an integer number (1763280).

Almost surely, 2^34377400 is an apocalyptic number.

It is an amenable number.

34377400 is an abundant number, since it is smaller than the sum of its proper divisors (50260040).

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

34377400 is a wasteful number, since it uses less digits than its factorization.

34377400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10144 (or 10135 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 28.

The square root of 34377400 is about 5863.2243688946. The cubic root of 34377400 is about 325.1554286143.

The spelling of 34377400 in words is "thirty-four million, three hundred seventy-seven thousand, four hundred".