3312278358480 has 3840 divisors, whose sum is σ = 16543191168000. Its totient is φ = 599298932736.

The previous prime is 3312278358437. The next prime is 3312278358511. The reversal of 3312278358480 is 848538722133.

3312278358480 is a `hidden beast` number, since 3 + 3 + 12 + 27 + 83 + 58 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 12888242512 + ... + 12888242768.

It is an arithmetic number, because the mean of its divisors is an integer number (4308122700).

Almost surely, 2^{3312278358480} is an apocalyptic number.

3312278358480 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 3312278358480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8271595584000).

3312278358480 is an abundant number, since it is smaller than the sum of its proper divisors (13230912809520).

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

3312278358480 is a wasteful number, since it uses less digits than its factorization.

3312278358480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 3312278358480 in words is "three trillion, three hundred twelve billion, two hundred seventy-eight million, three hundred fifty-eight thousand, four hundred eighty".