34831944 has 120 divisors (see below), whose sum is σ = 113593590. Its totient is φ = 9942912.

The previous prime is 34831939. The next prime is 34831949. The reversal of 34831944 is 44913843.

It is an interprime number because it is at equal distance from previous prime (34831939) and next prime (34831949).

It can be written as a sum of positive squares in only one way, i.e., 32148900 + 2683044 = 5670^2 + 1638^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34831899 and 34831908.

It is not an unprimeable number, because it can be changed into a prime (34831949) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31204 + ... + 32300.

Almost surely, 2^34831944 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 34831944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56796795).

34831944 is an abundant number, since it is smaller than the sum of its proper divisors (78761646).

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

34831944 is a wasteful number, since it uses less digits than its factorization.

34831944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1109 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 34831944 is about 5901.8593680297. The cubic root of 34831944 is about 326.5822457586.

The spelling of 34831944 in words is "thirty-four million, eight hundred thirty-one thousand, nine hundred forty-four".