3283613793600 has 1008 divisors, whose sum is σ = 13120364814336. Its totient is φ = 715986432000.

The previous prime is 3283613793541. The next prime is 3283613793653. The reversal of 3283613793600 is 63973163823.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 517672029 + ... + 517678371.

Almost surely, 2^{3283613793600} is an apocalyptic number.

3283613793600 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 3283613793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6560182407168).

3283613793600 is an abundant number, since it is smaller than the sum of its proper divisors (9836751020736).

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

3283613793600 is a wasteful number, since it uses less digits than its factorization.

3283613793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6484 (or 6462 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 51.

The spelling of 3283613793600 in words is "three trillion, two hundred eighty-three billion, six hundred thirteen million, seven hundred ninety-three thousand, six hundred".