3438457325540 has 24 divisors (see below), whose sum is σ = 7645510995192. Its totient is φ = 1294478051840.

The previous prime is 3438457325531. The next prime is 3438457325549. The reversal of 3438457325540 is 455237548343.

It is an interprime number because it is at equal distance from previous prime (3438457325531) and next prime (3438457325549).

It can be written as a sum of positive squares in 4 ways, for example, as 1431526103296 + 2006931222244 = 1196464^2 + 1416662^2 .

It is not an unprimeable number, because it can be changed into a prime (3438457325549) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5056554551 + ... + 5056555230.

It is an arithmetic number, because the mean of its divisors is an integer number (318562958133).

Almost surely, 2^{3438457325540} is an apocalyptic number.

It is an amenable number.

3438457325540 is an abundant number, since it is smaller than the sum of its proper divisors (4207053669652).

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

3438457325540 is a wasteful number, since it uses less digits than its factorization.

3438457325540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10113109807 (or 10113109805 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 53.

The spelling of 3438457325540 in words is "three trillion, four hundred thirty-eight billion, four hundred fifty-seven million, three hundred twenty-five thousand, five hundred forty".