3338613120 has 256 divisors, whose sum is σ = 11368512000. Its totient is φ = 830914560.

The previous prime is 3338613097. The next prime is 3338613133. The reversal of 3338613120 is 213168333.

3338613120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3338613120² = 22292675130072268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2589436 + ... + 2590724.

It is an arithmetic number, because the mean of its divisors is an integer number (44408250).

Almost surely, 2^3338613120 is an apocalyptic number.

3338613120 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 3338613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5684256000).

3338613120 is an abundant number, since it is smaller than the sum of its proper divisors (8029898880).

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

3338613120 is a wasteful number, since it uses less digits than its factorization.

3338613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 3338613120 is about 57780.7331209980. The cubic root of 3338613120 is about 1494.5898615051.

The spelling of 3338613120 in words is "three billion, three hundred thirty-eight million, six hundred thirteen thousand, one hundred twenty".