34446401 has 6 divisors (see below), whose sum is σ = 37862706. Its totient is φ = 31314800.

The previous prime is 34446361. The next prime is 34446413. The reversal of 34446401 is 10464443.

It can be written as a sum of positive squares in only one way, i.e., 31348801 + 3097600 = 5599^2 + 1760^2 .

It is not a de Polignac number, because 34446401 - 2¹⁸ = 34184257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34446101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142220 + ... + 142461.

It is an arithmetic number, because the mean of its divisors is an integer number (6310451).

Almost surely, 2^34446401 is an apocalyptic number.

It is an amenable number.

34446401 is a deficient number, since it is larger than the sum of its proper divisors (3416305).

34446401 is a wasteful number, since it uses less digits than its factorization.

34446401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284703 (or 284692 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 34446401 is about 5869.1056388516. The cubic root of 34446401 is about 325.3728297317.

The spelling of 34446401 in words is "thirty-four million, four hundred forty-six thousand, four hundred one".