3312743261760 has 784 divisors, whose sum is σ = 12080448149952. Its totient is φ = 864666316800.

The previous prime is 3312743261749. The next prime is 3312743261791. The reversal of 3312743261760 is 671623472133.

3312743261760 is a `hidden beast` number, since 3 + 3 + 1 + 27 + 4 + 3 + 2 + 617 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2828985975 + ... + 2828987145.

Almost surely, 2^{3312743261760} is an apocalyptic number.

3312743261760 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 3312743261760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6040224074976).

3312743261760 is an abundant number, since it is smaller than the sum of its proper divisors (8767704888192).

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

3312743261760 is a wasteful number, since it uses less digits than its factorization.

3312743261760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 3312743261760 in words is "three trillion, three hundred twelve billion, seven hundred forty-three million, two hundred sixty-one thousand, seven hundred sixty".