34075944 has 128 divisors (see below), whose sum is σ = 111820800. Its totient is φ = 9408960.

The previous prime is 34075933. The next prime is 34075963. The reversal of 34075944 is 44957043.

It is a super-2 number, since 2×34075944² = 2322339918982272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 34075899 and 34075908.

It is a congruent number.

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, 46509 + ... + 47235.

It is an arithmetic number, because the mean of its divisors is an integer number (873600).

Almost surely, 2^34075944 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 34075944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55910400).

34075944 is an abundant number, since it is smaller than the sum of its proper divisors (77744856).

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

34075944 is a wasteful number, since it uses less digits than its factorization.

34075944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 34075944 is about 5837.4604067180. The cubic root of 34075944 is about 324.2022057404.

The spelling of 34075944 in words is "thirty-four million, seventy-five thousand, nine hundred forty-four".