34861344 has 72 divisors (see below), whose sum is σ = 106465968. Its totient is φ = 9959040.

The previous prime is 34861319. The next prime is 34861423. The reversal of 34861344 is 44316843.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 999 + ... + 8409.

It is an arithmetic number, because the mean of its divisors is an integer number (1478694).

Almost surely, 2^34861344 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 34861344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53232984).

34861344 is an abundant number, since it is smaller than the sum of its proper divisors (71604624).

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

34861344 is a wasteful number, since it uses less digits than its factorization.

34861344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7438 (or 7423 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 34861344 is about 5904.3495831463. The cubic root of 34861344 is about 326.6741041391.

The spelling of 34861344 in words is "thirty-four million, eight hundred sixty-one thousand, three hundred forty-four".