3334032401728 has 112 divisors (see below), whose sum is σ = 7676472856320. Its totient is φ = 1407130251264.

The previous prime is 3334032401549. The next prime is 3334032401759. The reversal of 3334032401728 is 8271042304333.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×3334032401728² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21277653 + ... + 21433771.

Almost surely, 2^{3334032401728} 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 3334032401728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3838236428160).

3334032401728 is an abundant number, since it is smaller than the sum of its proper divisors (4342440454592).

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

3334032401728 is a wasteful number, since it uses less digits than its factorization.

3334032401728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156864 (or 156854 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 40.

The spelling of 3334032401728 in words is "three trillion, three hundred thirty-four billion, thirty-two million, four hundred one thousand, seven hundred twenty-eight".