3250986007680 has 768 divisors, whose sum is σ = 12803310748800. Its totient is φ = 754994774016.

The previous prime is 3250986007571. The next prime is 3250986007729. The reversal of 3250986007680 is 867006890523.

It is a happy number.

3250986007680 is a `hidden beast` number, since 3 + 2 + 509 + 8 + 60 + 0 + 76 + 8 + 0 = 666.

It is a super-2 number, since 2×3250986007680² (a number of 26 digits) contains 22 as substring.

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, 79980322 + ... + 80020958.

Almost surely, 2^{3250986007680} is an apocalyptic number.

3250986007680 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 3250986007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6401655374400).

3250986007680 is an abundant number, since it is smaller than the sum of its proper divisors (9552324741120).

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

3250986007680 is a wasteful number, since it uses less digits than its factorization.

3250986007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40741 (or 40726 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 3250986007680 in words is "three trillion, two hundred fifty billion, nine hundred eighty-six million, seven thousand, six hundred eighty".