3254991057360 has 1920 divisors, whose sum is σ = 13934989246464. Its totient is φ = 664799477760.

The previous prime is 3254991057359. The next prime is 3254991057401. The reversal of 3254991057360 is 637501994523.

3254991057360 is a `hidden beast` number, since 3 + 2 + 5 + 4 + 9 + 9 + 1 + 0 + 573 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3254991057297 and 3254991057306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13506186840 + ... + 13506187080.

Almost surely, 2^{3254991057360} is an apocalyptic number.

3254991057360 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 3254991057360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6967494623232).

3254991057360 is an abundant number, since it is smaller than the sum of its proper divisors (10679998189104).

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

3254991057360 is a wasteful number, since it uses less digits than its factorization.

3254991057360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 3254991057360 in words is "three trillion, two hundred fifty-four billion, nine hundred ninety-one million, fifty-seven thousand, three hundred sixty".