3334033920 has 160 divisors (see below), whose sum is σ = 12181327488. Its totient is φ = 762052608.

The previous prime is 3334033909. The next prime is 3334033943. The reversal of 3334033920 is 293304333.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×3334033920² = 22231564359421132800, which contains 22 as substring.

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

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, 22752 + ... + 84768.

Almost surely, 2^3334033920 is an apocalyptic number.

3334033920 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 3334033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6090663744).

3334033920 is an abundant number, since it is smaller than the sum of its proper divisors (8847293568).

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

3334033920 is an equidigital number, since it uses as much as digits as its factorization.

3334033920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62050 (or 62034 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 30.

The square root of 3334033920 is about 57741.0938587069. The cubic root of 3334033920 is about 1493.9062286018.

The spelling of 3334033920 in words is "three billion, three hundred thirty-four million, thirty-three thousand, nine hundred twenty".