34400744 has 48 divisors (see below), whose sum is σ = 75732480. Its totient is φ = 14605920.

The previous prime is 34400711. The next prime is 34400747. The reversal of 34400744 is 44700443.

It is a super-2 number, since 2×34400744² = 2366822375507072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34400747) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49439 + ... + 50129.

It is an arithmetic number, because the mean of its divisors is an integer number (1577760).

Almost surely, 2^34400744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34400744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37866240).

34400744 is an abundant number, since it is smaller than the sum of its proper divisors (41331736).

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

34400744 is a wasteful number, since it uses less digits than its factorization.

34400744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 26.

The square root of 34400744 is about 5865.2147445767. The cubic root of 34400744 is about 325.2290109763.

The spelling of 34400744 in words is "thirty-four million, four hundred thousand, seven hundred forty-four".