3326123727360 has 1280 divisors, whose sum is σ = 13969985863680. Its totient is φ = 734313185280.

The previous prime is 3326123727359. The next prime is 3326123727361. The reversal of 3326123727360 is 637273216233.

It is a happy number.

3326123727360 is a `hidden beast` number, since 3 + 3 + 2 + 612 + 3 + 7 + 27 + 3 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3326123727359) and next prime (3326123727361).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×3326123727360² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3326123727361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2122605297 + ... + 2122606863.

It is an arithmetic number, because the mean of its divisors is an integer number (10914051456).

Almost surely, 2^{3326123727360} is an apocalyptic number.

3326123727360 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 3326123727360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6984992931840).

3326123727360 is an abundant number, since it is smaller than the sum of its proper divisors (10643862136320).

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

3326123727360 is a wasteful number, since it uses less digits than its factorization.

3326123727360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 45.

The spelling of 3326123727360 in words is "three trillion, three hundred twenty-six billion, one hundred twenty-three million, seven hundred twenty-seven thousand, three hundred sixty".