3331289760 has 192 divisors, whose sum is σ = 11403141120. Its totient is φ = 814371840.

The previous prime is 3331289749. The next prime is 3331289761. The reversal of 3331289760 is 679821333.

It is a happy number.

It is a super-2 number, since 2×3331289760² = 22194982930161715200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3331289761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276829 + ... + 288611.

It is an arithmetic number, because the mean of its divisors is an integer number (59391360).

Almost surely, 2^3331289760 is an apocalyptic number.

3331289760 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 3331289760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5701570560).

3331289760 is an abundant number, since it is smaller than the sum of its proper divisors (8071851360).

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

3331289760 is a wasteful number, since it uses less digits than its factorization.

3331289760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11851 (or 11843 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 3331289760 is about 57717.3263414029. The cubic root of 3331289760 is about 1493.4962504726.

The spelling of 3331289760 in words is "three billion, three hundred thirty-one million, two hundred eighty-nine thousand, seven hundred sixty".