34440768 has 112 divisors (see below), whose sum is σ = 106680000. Its totient is φ = 10865664.

The previous prime is 34440739. The next prime is 34440773. The reversal of 34440768 is 86704443.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32308 + ... + 33356.

It is an arithmetic number, because the mean of its divisors is an integer number (952500).

Almost surely, 2^34440768 is an apocalyptic number.

34440768 is a gapful number since it is divisible by the number (38) 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 34440768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53340000).

34440768 is an abundant number, since it is smaller than the sum of its proper divisors (72239232).

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

34440768 is a wasteful number, since it uses less digits than its factorization.

34440768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 34440768 is about 5868.6257335087. The cubic root of 34440768 is about 325.3550927547.

The spelling of 34440768 in words is "thirty-four million, four hundred forty thousand, seven hundred sixty-eight".