3430252240 has 160 divisors (see below), whose sum is σ = 8587620000. Its totient is φ = 1271660544.

The previous prime is 3430252171. The next prime is 3430252297. The reversal of 3430252240 is 422520343.

It can be written as a sum of positive squares in 16 ways, for example, as 368179344 + 3062072896 = 19188^2 + 55336^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7639536 + ... + 7639984.

It is an arithmetic number, because the mean of its divisors is an integer number (53672625).

Almost surely, 2^3430252240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3430252240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4293810000).

3430252240 is an abundant number, since it is smaller than the sum of its proper divisors (5157367760).

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

3430252240 is a wasteful number, since it uses less digits than its factorization.

3430252240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 3430252240 is about 58568.3552782559. The cubic root of 3430252240 is about 1508.1412504567.

Adding to 3430252240 its reverse (422520343), we get a palindrome (3852772583).

The spelling of 3430252240 in words is "three billion, four hundred thirty million, two hundred fifty-two thousand, two hundred forty".