34379400 has 96 divisors (see below), whose sum is σ = 116287200. Its totient is φ = 8332800.

The previous prime is 34379393. The next prime is 34379437. The reversal of 34379400 is 497343.

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

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, 3996 + ... + 9204.

It is an arithmetic number, because the mean of its divisors is an integer number (1211325).

Almost surely, 2^34379400 is an apocalyptic number.

34379400 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 34379400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58143600).

34379400 is an abundant number, since it is smaller than the sum of its proper divisors (81907800).

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

34379400 is a wasteful number, since it uses less digits than its factorization.

34379400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5239 (or 5230 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 34379400 is about 5863.3949210334. The cubic root of 34379400 is about 325.1617340964.

The spelling of 34379400 in words is "thirty-four million, three hundred seventy-nine thousand, four hundred".