3283734729600 has 1536 divisors, whose sum is σ = 13684124160000. Its totient is φ = 762899005440.

The previous prime is 3283734729593. The next prime is 3283734729659. The reversal of 3283734729600 is 69274373823.

3283734729600 is a `hidden beast` number, since 3 + 2 + 8 + 3 + 7 + 3 + 4 + 7 + 29 + 600 = 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 191 ways as a sum of consecutive naturals, for example, 2040853596 + ... + 2040855204.

It is an arithmetic number, because the mean of its divisors is an integer number (8908935000).

Almost surely, 2^{3283734729600} is an apocalyptic number.

3283734729600 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 3283734729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6842062080000).

3283734729600 is an abundant number, since it is smaller than the sum of its proper divisors (10400389430400).

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

3283734729600 is a wasteful number, since it uses less digits than its factorization.

3283734729600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 3283734729600 in words is "three trillion, two hundred eighty-three billion, seven hundred thirty-four million, seven hundred twenty-nine thousand, six hundred".