34444806 has 64 divisors (see below), whose sum is σ = 78693120. Its totient is φ = 9959040.

The previous prime is 34444801. The next prime is 34444807. The reversal of 34444806 is 60844443.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34444801) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150300 + ... + 150528.

It is an arithmetic number, because the mean of its divisors is an integer number (1229580).

Almost surely, 2^34444806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34444806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39346560).

34444806 is an abundant number, since it is smaller than the sum of its proper divisors (44248314).

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

34444806 is a wasteful number, since it uses less digits than its factorization.

34444806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341.

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 34444806 is about 5868.9697562690. The cubic root of 34444806 is about 325.3678076523.

It can be divided in two parts, 344 and 44806, that added together give a triangular number (45150 = T₃₀₀).

The spelling of 34444806 in words is "thirty-four million, four hundred forty-four thousand, eight hundred six".