34444400 has 30 divisors (see below), whose sum is σ = 82753632. Its totient is φ = 13777600.

The previous prime is 34444381. The next prime is 34444427. The reversal of 34444400 is 444443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42656 + ... + 43455.

Almost surely, 2^34444400 is an apocalyptic number.

It is an amenable number.

34444400 is an abundant number, since it is smaller than the sum of its proper divisors (48309232).

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

34444400 is a wasteful number, since it uses less digits than its factorization.

34444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86129 (or 86118 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 34444400 is about 5868.9351674729. The cubic root of 34444400 is about 325.3665292801.

Adding to 34444400 its reverse (444443), we get a palindrome (34888843).

It can be divided in two parts, 344 and 44400, that added together give a palindrome (44744).

The spelling of 34444400 in words is "thirty-four million, four hundred forty-four thousand, four hundred".