3331744000 has 144 divisors (see below), whose sum is σ = 8939352240. Its totient is φ = 1230028800.

The previous prime is 3331743991. The next prime is 3331744027. The reversal of 3331744000 is 4471333.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1469648896 + 1862095104 = 38336^2 + 43152^2 .

It is a super-2 number, since 2×3331744000² = 22201036163072000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411996 + ... + 420004.

It is an arithmetic number, because the mean of its divisors is an integer number (62078835).

Almost surely, 2^3331744000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3331744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4469676120).

3331744000 is an abundant number, since it is smaller than the sum of its proper divisors (5607608240).

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

3331744000 is an equidigital number, since it uses as much as digits as its factorization.

3331744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8053 (or 8029 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 3331744000 is about 57721.2612474814. The cubic root of 3331744000 is about 1493.5641295778.

The spelling of 3331744000 in words is "three billion, three hundred thirty-one million, seven hundred forty-four thousand".