3381724829232 has 240 divisors, whose sum is σ = 10436242752000. Its totient is φ = 1018034873856.

The previous prime is 3381724829221. The next prime is 3381724829267. The reversal of 3381724829232 is 2329284271833.

3381724829232 is a `hidden beast` number, since 3 + 3 + 8 + 1 + 72 + 482 + 92 + 3 + 2 = 666.

It is a super-2 number, since 2×3381724829232² (a number of 26 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 5998423 + ... + 6537929.

It is an arithmetic number, because the mean of its divisors is an integer number (43484344800).

Almost surely, 2^{3381724829232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3381724829232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5218121376000).

3381724829232 is an abundant number, since it is smaller than the sum of its proper divisors (7054517922768).

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

3381724829232 is a wasteful number, since it uses less digits than its factorization.

3381724829232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539648 (or 539639 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 3381724829232 in words is "three trillion, three hundred eighty-one billion, seven hundred twenty-four million, eight hundred twenty-nine thousand, two hundred thirty-two".