3281429406192 has 160 divisors (see below), whose sum is σ = 9897891494400. Its totient is φ = 917459288064.

The previous prime is 3281429406191. The next prime is 3281429406197. The reversal of 3281429406192 is 2916049241823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3281429406191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2335059 + ... + 3466317.

It is an arithmetic number, because the mean of its divisors is an integer number (61861821840).

Almost surely, 2^{3281429406192} 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 3281429406192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4948945747200).

3281429406192 is an abundant number, since it is smaller than the sum of its proper divisors (6616462088208).

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

3281429406192 is a wasteful number, since it uses less digits than its factorization.

3281429406192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131463 (or 1131457 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 3281429406192 in words is "three trillion, two hundred eighty-one billion, four hundred twenty-nine million, four hundred six thousand, one hundred ninety-two".