3389024160000 has 1080 divisors, whose sum is σ = 12777042037760. Its totient is φ = 863516160000.

The previous prime is 3389024159981. The next prime is 3389024160019. The reversal of 3389024160000 is 614209833.

3389024160000 is a `hidden beast` number, since 3 + 3 + 8 + 9 + 0 + 2 + 41 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3389024159981) and next prime (3389024160019).

It is a super-2 number, since 2×3389024160000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 42899039961 + ... + 42899040039.

Almost surely, 2^{3389024160000} is an apocalyptic number.

3389024160000 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 3389024160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6388521018880).

3389024160000 is an abundant number, since it is smaller than the sum of its proper divisors (9388017877760).

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

3389024160000 is an frugal number, since it uses more digits than its factorization.

3389024160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 3389024160000 its reverse (614209833), we get a palindrome (3389638369833).

The spelling of 3389024160000 in words is "three trillion, three hundred eighty-nine billion, twenty-four million, one hundred sixty thousand".