34394640 has 160 divisors (see below), whose sum is σ = 124277760. Its totient is φ = 7706112.

The previous prime is 34394639. The next prime is 34394663. The reversal of 34394640 is 4649343.

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, 98947 + ... + 99293.

It is an arithmetic number, because the mean of its divisors is an integer number (776736).

Almost surely, 2^34394640 is an apocalyptic number.

34394640 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 34394640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62138880).

34394640 is an abundant number, since it is smaller than the sum of its proper divisors (89883120).

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

34394640 is a wasteful number, since it uses less digits than its factorization.

34394640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 34394640 is about 5864.6943654380. The cubic root of 34394640 is about 325.2097738409.

The spelling of 34394640 in words is "thirty-four million, three hundred ninety-four thousand, six hundred forty".