3331476720 has 720 divisors, whose sum is σ = 14018209920. Its totient is φ = 700876800.

The previous prime is 3331476677. The next prime is 3331476751. The reversal of 3331476720 is 276741333.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3331476720² = 22197474271803916800, 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 143 ways as a sum of consecutive naturals, for example, 25431055 + ... + 25431185.

It is an arithmetic number, because the mean of its divisors is an integer number (19469736).

Almost surely, 2^3331476720 is an apocalyptic number.

3331476720 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 3331476720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7009104960).

3331476720 is an abundant number, since it is smaller than the sum of its proper divisors (10686733200).

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

3331476720 is a wasteful number, since it uses less digits than its factorization.

3331476720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 3331476720 is about 57718.9459363215. The cubic root of 3331476720 is about 1493.5241894848.

The spelling of 3331476720 in words is "three billion, three hundred thirty-one million, four hundred seventy-six thousand, seven hundred twenty".