3452400640 has 88 divisors (see below), whose sum is σ = 8918942760. Its totient is φ = 1274707968.

The previous prime is 3452400619. The next prime is 3452400661. The reversal of 3452400640 is 460042543.

It is an interprime number because it is at equal distance from previous prime (3452400619) and next prime (3452400661).

It can be written as a sum of positive squares in 4 ways, for example, as 26873856 + 3425526784 = 5184^2 + 58528^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3452400599 and 3452400608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40626 + ... + 92494.

Almost surely, 2^3452400640 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 3452400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4459471380).

3452400640 is an abundant number, since it is smaller than the sum of its proper divisors (5466542120).

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

3452400640 is a wasteful number, since it uses less digits than its factorization.

3452400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51907 (or 51889 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 3452400640 is about 58757.1326734040. The cubic root of 3452400640 is about 1511.3802037763.

The spelling of 3452400640 in words is "three billion, four hundred fifty-two million, four hundred thousand, six hundred forty".