3355312128 has 288 divisors, whose sum is σ = 10871594496. Its totient is φ = 899678208.

The previous prime is 3355312127. The next prime is 3355312139. The reversal of 3355312128 is 8212135533.

It is a super-2 number, since 2×3355312128² = 22516238952607776768, which contains 22 as substring.

Its product of digits (21600) is a multiple of the sum of its prime factors (120).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3355312127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63307750 + ... + 63307802.

It is an arithmetic number, because the mean of its divisors is an integer number (37748592).

Almost surely, 2^3355312128 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 3355312128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5435797248).

3355312128 is an abundant number, since it is smaller than the sum of its proper divisors (7516282368).

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

3355312128 is an frugal number, since it uses more digits than its factorization.

3355312128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 88 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 3355312128 is about 57925.0561329033. The cubic root of 3355312128 is about 1497.0775882596.

The spelling of 3355312128 in words is "three billion, three hundred fifty-five million, three hundred twelve thousand, one hundred twenty-eight".