3283294156800 has 1728 divisors, whose sum is σ = 13603889295360. Its totient is φ = 693963325440.

The previous prime is 3283294156787. The next prime is 3283294156819. The reversal of 3283294156800 is 86514923823.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8572569409 + ... + 8572569791.

It is an arithmetic number, because the mean of its divisors is an integer number (7872621120).

Almost surely, 2^{3283294156800} is an apocalyptic number.

3283294156800 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 3283294156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6801944647680).

3283294156800 is an abundant number, since it is smaller than the sum of its proper divisors (10320595138560).

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

3283294156800 is a wasteful number, since it uses less digits than its factorization.

3283294156800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 3283294156800 in words is "three trillion, two hundred eighty-three billion, two hundred ninety-four million, one hundred fifty-six thousand, eight hundred".