34561440 has 72 divisors (see below), whose sum is σ = 117945828. Its totient is φ = 9216000.

The previous prime is 34561427. The next prime is 34561447. The reversal of 34561440 is 4416543.

34561440 is a `hidden beast` number, since 3 + 4 + 5 + 614 + 40 = 666.

34561440 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 2 ways, for example, as 33315984 + 1245456 = 5772^2 + 1116^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (34561447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10561 + ... + 13440.

Almost surely, 2^34561440 is an apocalyptic number.

34561440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34561440 is an abundant number, since it is smaller than the sum of its proper divisors (83384388).

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

34561440 is a wasteful number, since it uses less digits than its factorization.

34561440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24022 (or 24011 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 34561440 is about 5878.8978558910. The cubic root of 34561440 is about 325.7346379579.

Adding to 34561440 its reverse (4416543), we get a palindrome (38977983).

The spelling of 34561440 in words is "thirty-four million, five hundred sixty-one thousand, four hundred forty".