34444746 has 60 divisors (see below), whose sum is σ = 87172722. Its totient is φ = 9829008.

The previous prime is 34444741. The next prime is 34444757. The reversal of 34444746 is 64744443.

It can be written as a sum of positive squares in only one way, i.e., 29582721 + 4862025 = 5439^2 + 2205^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34444746.

It is not an unprimeable number, because it can be changed into a prime (34444741) 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, 42820 + ... + 43616.

Almost surely, 2^34444746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34444746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43586361).

34444746 is an abundant number, since it is smaller than the sum of its proper divisors (52727976).

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

34444746 is an equidigital number, since it uses as much as digits as its factorization.

34444746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 809 counting only the distinct ones).

The product of its digits is 129024, while the sum is 36.

The square root of 34444746 is about 5868.9646446371. The cubic root of 34444746 is about 325.3676187310.

Adding to 34444746 its product of digits (129024), we get a triangular number (34573770 = T₈₃₁₅).

The spelling of 34444746 in words is "thirty-four million, four hundred forty-four thousand, seven hundred forty-six".