3250317312000 has 2880 divisors, whose sum is σ = 14468346966528. Its totient is φ = 692060160000.

The previous prime is 3250317311947. The next prime is 3250317312013. The reversal of 3250317312000 is 2137130523.

3250317312000 is a `hidden beast` number, since 32 + 5 + 0 + 317 + 312 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79276031980 + ... + 79276032020.

Almost surely, 2^{3250317312000} is an apocalyptic number.

3250317312000 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 3250317312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7234173483264).

3250317312000 is an abundant number, since it is smaller than the sum of its proper divisors (11218029654528).

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

3250317312000 is a wasteful number, since it uses less digits than its factorization.

3250317312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The spelling of 3250317312000 in words is "three trillion, two hundred fifty billion, three hundred seventeen million, three hundred twelve thousand".