3089741829120 has 704 divisors, whose sum is σ = 11677057459200. Its totient is φ = 772079616000.

The previous prime is 3089741829089. The next prime is 3089741829131. The reversal of 3089741829120 is 219281479803.

3089741829120 is a `hidden beast` number, since 3 + 0 + 89 + 7 + 418 + 29 + 120 = 666.

It is a super-2 number, since 2×3089741829120² (a number of 26 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 561666370 + ... + 561671870.

Almost surely, 2^{3089741829120} is an apocalyptic number.

3089741829120 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 3089741829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5838528729600).

3089741829120 is an abundant number, since it is smaller than the sum of its proper divisors (8587315630080).

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

3089741829120 is a wasteful number, since it uses less digits than its factorization.

3089741829120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5791 (or 5767 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 3089741829120 in words is "three trillion, eighty-nine billion, seven hundred forty-one million, eight hundred twenty-nine thousand, one hundred twenty".