3038220900 has 720 divisors, whose sum is σ = 12033688128. Its totient is φ = 653184000.

The previous prime is 3038220869. The next prime is 3038220959. The reversal of 3038220900 is 90228303.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 49806870 + ... + 49806930.

Almost surely, 2^3038220900 is an apocalyptic number.

3038220900 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 3038220900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6016844064).

3038220900 is an abundant number, since it is smaller than the sum of its proper divisors (8995467228).

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

3038220900 is a wasteful number, since it uses less digits than its factorization.

3038220900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3038220900 is about 55120.0589622326. The cubic root of 3038220900 is about 1448.3486392527.

The spelling of 3038220900 in words is "three billion, thirty-eight million, two hundred twenty thousand, nine hundred".