3120428288 has 72 divisors (see below), whose sum is σ = 6347355840. Its totient is φ = 1530777600.

The previous prime is 3120428249. The next prime is 3120428291. The reversal of 3120428288 is 8828240213.

It is a happy number.

It is a super-2 number, since 2×3120428288² = 19474145401101221888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3439931 + ... + 3440837.

It is an arithmetic number, because the mean of its divisors is an integer number (88157720).

Almost surely, 2^3120428288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3120428288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173677920).

3120428288 is an abundant number, since it is smaller than the sum of its proper divisors (3226927552).

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

3120428288 is an equidigital number, since it uses as much as digits as its factorization.

3120428288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 3120428288 is about 55860.7938361066. The cubic root of 3120428288 is about 1461.2955735828.

The spelling of 3120428288 in words is "three billion, one hundred twenty million, four hundred twenty-eight thousand, two hundred eighty-eight".