3250410768000 has 768 divisors, whose sum is σ = 13206034558080. Its totient is φ = 787968000000.

The previous prime is 3250410767983. The next prime is 3250410768037. The reversal of 3250410768000 is 8670140523.

3250410768000 is a `hidden beast` number, since 3 + 2 + 504 + 1 + 0 + 76 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42730000 + ... + 42806000.

Almost surely, 2^{3250410768000} is an apocalyptic number.

3250410768000 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 3250410768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6603017279040).

3250410768000 is an abundant number, since it is smaller than the sum of its proper divisors (9955623790080).

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

3250410768000 is an equidigital number, since it uses as much as digits as its factorization.

3250410768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76056 (or 76022 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 3250410768000 in words is "three trillion, two hundred fifty billion, four hundred ten million, seven hundred sixty-eight thousand".