3038857920 has 336 divisors, whose sum is σ = 12008924928. Its totient is φ = 690923520.

The previous prime is 3038857907. The next prime is 3038857949. The reversal of 3038857920 is 297588303.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6188875 + ... + 6189365.

It is an arithmetic number, because the mean of its divisors is an integer number (35740848).

Almost surely, 2^3038857920 is an apocalyptic number.

3038857920 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 3038857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6004462464).

3038857920 is an abundant number, since it is smaller than the sum of its proper divisors (8970067008).

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

3038857920 is a wasteful number, since it uses less digits than its factorization.

3038857920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3038857920 is about 55125.8371365007. The cubic root of 3038857920 is about 1448.4498566654.

The spelling of 3038857920 in words is "three billion, thirty-eight million, eight hundred fifty-seven thousand, nine hundred twenty".