3331356120 has 128 divisors (see below), whose sum is σ = 11139264000. Its totient is φ = 885582720.

The previous prime is 3331356113. The next prime is 3331356137. The reversal of 3331356120 is 216531333.

It is a happy number.

3331356120 is a `hidden beast` number, since 3 + 33 + 13 + 5 + 612 + 0 = 666.

It is a super-2 number, since 2×3331356120² = 22195867196522908800, which contains 22 as substring.

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

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, 352821 + ... + 362139.

It is an arithmetic number, because the mean of its divisors is an integer number (87025500).

Almost surely, 2^3331356120 is an apocalyptic number.

3331356120 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 3331356120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5569632000).

3331356120 is an abundant number, since it is smaller than the sum of its proper divisors (7807907880).

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

3331356120 is a wasteful number, since it uses less digits than its factorization.

3331356120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9670 (or 9660 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 3331356120 is about 57717.9012092436. The cubic root of 3331356120 is about 1493.5061673276.

Adding to 3331356120 its reverse (216531333), we get a palindrome (3547887453).

The spelling of 3331356120 in words is "three billion, three hundred thirty-one million, three hundred fifty-six thousand, one hundred twenty".