3312675273600 has 2880 divisors, whose sum is σ = 15632199475200. Its totient is φ = 676076544000.

The previous prime is 3312675273569. The next prime is 3312675273617. The reversal of 3312675273600 is 63725762133.

3312675273600 is a `hidden beast` number, since 3 + 3 + 1 + 2 + 67 + 527 + 3 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 17343849505 + ... + 17343849695.

It is an arithmetic number, because the mean of its divisors is an integer number (5427847040).

Almost surely, 2^{3312675273600} is an apocalyptic number.

3312675273600 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 3312675273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7816099737600).

3312675273600 is an abundant number, since it is smaller than the sum of its proper divisors (12319524201600).

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

3312675273600 is a wasteful number, since it uses less digits than its factorization.

3312675273600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 3312675273600 in words is "three trillion, three hundred twelve billion, six hundred seventy-five million, two hundred seventy-three thousand, six hundred".