3250661621760 has 960 divisors, whose sum is σ = 13374112752000. Its totient is φ = 743008370688.

The previous prime is 3250661621749. The next prime is 3250661621773. The reversal of 3250661621760 is 671261660523.

It is a Jordan-Polya number, since it can be written as 9! ⋅ (4!)² ⋅ (3!)⁵ ⋅ 2!.

3250661621760 is a `hidden beast` number, since 3 + 2 + 5 + 0 + 6 + 616 + 21 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 464380231677 + ... + 464380231683.

It is an arithmetic number, because the mean of its divisors is an integer number (13931367450).

Almost surely, 2^{3250661621760} is an apocalyptic number.

3250661621760 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 3250661621760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6687056376000).

3250661621760 is an abundant number, since it is smaller than the sum of its proper divisors (10123451130240).

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

3250661621760 is an frugal number, since it uses more digits than its factorization.

3250661621760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 3250661621760 in words is "three trillion, two hundred fifty billion, six hundred sixty-one million, six hundred twenty-one thousand, seven hundred sixty".