3312738000 has 900 divisors, whose sum is σ = 14242111884. Its totient is φ = 741312000.

The previous prime is 3312737999. The next prime is 3312738007. The reversal of 3312738000 is 8372133.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3312738000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2334049344 + 978688656 = 48312^2 + 31284^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3312738007) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 254825994 + ... + 254826006.

Almost surely, 2^3312738000 is an apocalyptic number.

3312738000 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 3312738000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7121055942).

3312738000 is an abundant number, since it is smaller than the sum of its proper divisors (10929373884).

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

3312738000 is a wasteful number, since it uses less digits than its factorization.

3312738000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3312738000 is about 57556.3897408446. The cubic root of 3312738000 is about 1490.7186899697.

The spelling of 3312738000 in words is "three billion, three hundred twelve million, seven hundred thirty-eight thousand".