3042385920 has 560 divisors, whose sum is σ = 12560125248. Its totient is φ = 690094080.

The previous prime is 3042385877. The next prime is 3042385949. The reversal of 3042385920 is 295832403.

3042385920 is a `hidden beast` number, since 30 + 4 + 2 + 38 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×3042385920² = 18512224172428492800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23224255 + ... + 23224385.

Almost surely, 2^3042385920 is an apocalyptic number.

3042385920 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 3042385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6280062624).

3042385920 is an abundant number, since it is smaller than the sum of its proper divisors (9517739328).

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

3042385920 is an equidigital number, since it uses as much as digits as its factorization.

3042385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3042385920 is about 55157.8273683799. The cubic root of 3042385920 is about 1449.0101718613.

The spelling of 3042385920 in words is "three billion, forty-two million, three hundred eighty-five thousand, nine hundred twenty".