3333337920 has 448 divisors, whose sum is σ = 13016666880. Its totient is φ = 806215680.

The previous prime is 3333337919. The next prime is 3333337939. The reversal of 3333337920 is 297333333.

It is a happy number.

It is a super-2 number, since 2×3333337920² = 22222283377819852800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7698024 + ... + 7698456.

It is an arithmetic number, because the mean of its divisors is an integer number (29055060).

Almost surely, 2^3333337920 is an apocalyptic number.

3333337920 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 3333337920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6508333440).

3333337920 is an abundant number, since it is smaller than the sum of its proper divisors (9683328960).

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

3333337920 is an equidigital number, since it uses as much as digits as its factorization.

3333337920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 36.

The square root of 3333337920 is about 57735.0666406474. The cubic root of 3333337920 is about 1493.8022673424.

It can be divided in two parts, 33333 and 37920, that added together give a triangular number (71253 = T₃₇₇).

The spelling of 3333337920 in words is "three billion, three hundred thirty-three million, three hundred thirty-seven thousand, nine hundred twenty".