34525440 has 252 divisors, whose sum is σ = 127343244. Its totient is φ = 8957952.

The previous prime is 34525433. The next prime is 34525441. The reversal of 34525440 is 4452543.

It can be written as a sum of positive squares in 2 ways, for example, as 22581504 + 11943936 = 4752^2 + 3456^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34525441) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 933102 + ... + 933138.

Almost surely, 2^34525440 is an apocalyptic number.

34525440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63671622).

34525440 is an abundant number, since it is smaller than the sum of its proper divisors (92817804).

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

34525440 is an frugal number, since it uses more digits than its factorization.

34525440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 34525440 is about 5875.8352597737. The cubic root of 34525440 is about 325.6215010744.

Adding to 34525440 its reverse (4452543), we get a palindrome (38977983).

The spelling of 34525440 in words is "thirty-four million, five hundred twenty-five thousand, four hundred forty".