3333120 has 176 divisors, whose sum is σ = 12576768. Its totient is φ = 737280.

The previous prime is 3333119. The next prime is 3333131. The reversal of 3333120 is 213333.

3333120 = T₁₂₅ + T₁₂₆ + ... + T₂₇₉.

It is a super-2 number, since 2×3333120² = 22219377868800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3333120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107505 + ... + 107535.

Almost surely, 2^3333120 is an apocalyptic number.

3333120 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 3333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6288384).

3333120 is an abundant number, since it is smaller than the sum of its proper divisors (9243648).

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

3333120 is a wasteful number, since it uses less digits than its factorization.

3333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 3333120 is about 1825.6834336763. The cubic root of 3333120 is about 149.3769713739.

Adding to 3333120 its reverse (213333), we get a palindrome (3546453).

It can be divided in two parts, 33 and 33120, that added together give a triangular number (33153 = T₂₅₇).

The spelling of 3333120 in words is "three million, three hundred thirty-three thousand, one hundred twenty".