34019400 has 144 divisors (see below), whose sum is σ = 110818800. Its totient is φ = 8630400.

The previous prime is 34019389. The next prime is 34019411. The reversal of 34019400 is 491043.

It is an interprime number because it is at equal distance from previous prime (34019389) and next prime (34019411).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 576571 + ... + 576629.

It is an arithmetic number, because the mean of its divisors is an integer number (769575).

Almost surely, 2^34019400 is an apocalyptic number.

34019400 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 34019400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55409400).

34019400 is an abundant number, since it is smaller than the sum of its proper divisors (76799400).

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

34019400 is a wasteful number, since it uses less digits than its factorization.

34019400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 34019400 is about 5832.6151938903. The cubic root of 34019400 is about 324.0227845583.

The spelling of 34019400 in words is "thirty-four million, nineteen thousand, four hundred".