3345420288 has 416 divisors, whose sum is σ = 11323238400. Its totient is φ = 856424448.

The previous prime is 3345420263. The next prime is 3345420359. The reversal of 3345420288 is 8820245433.

It is a super-2 number, since 2×3345420288² = 22383673806724005888, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 37588948 + ... + 37589036.

Almost surely, 2^3345420288 is an apocalyptic number.

3345420288 is a gapful number since it is divisible by the number (38) 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 3345420288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5661619200).

3345420288 is an abundant number, since it is smaller than the sum of its proper divisors (7977818112).

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

3345420288 is a wasteful number, since it uses less digits than its factorization.

3345420288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 3345420288 is about 57839.6082974288. The cubic root of 3345420288 is about 1495.6049554104.

The spelling of 3345420288 in words is "three billion, three hundred forty-five million, four hundred twenty thousand, two hundred eighty-eight".