3432870578280 has 256 divisors, whose sum is σ = 12264813469440. Its totient is φ = 757671321600.

The previous prime is 3432870578261. The next prime is 3432870578323. The reversal of 3432870578280 is 828750782343.

It is a self number, because there is not a number n which added to its sum of digits gives 3432870578280.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117531 + ... + 2622890.

It is an arithmetic number, because the mean of its divisors is an integer number (47909427615).

Almost surely, 2^{3432870578280} is an apocalyptic number.

3432870578280 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 3432870578280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6132406734720).

3432870578280 is an abundant number, since it is smaller than the sum of its proper divisors (8831942891160).

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

3432870578280 is a wasteful number, since it uses less digits than its factorization.

3432870578280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2740532 (or 2740528 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 57.

The spelling of 3432870578280 in words is "three trillion, four hundred thirty-two billion, eight hundred seventy million, five hundred seventy-eight thousand, two hundred eighty".