3331774000 has 80 divisors (see below), whose sum is σ = 8089544736. Its totient is φ = 1327200000.

The previous prime is 3331773941. The next prime is 3331774009. The reversal of 3331774000 is 4771333.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3331774000² = 22201435974152000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3331774000.

It is not an unprimeable number, because it can be changed into a prime (3331774009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 498682 + ... + 505318.

Almost surely, 2^3331774000 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 3331774000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4044772368).

3331774000 is an abundant number, since it is smaller than the sum of its proper divisors (4757770736).

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

3331774000 is a wasteful number, since it uses less digits than its factorization.

3331774000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6911 (or 6895 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 28.

The square root of 3331774000 is about 57721.5211164779. The cubic root of 3331774000 is about 1493.5686123941.

The spelling of 3331774000 in words is "three billion, three hundred thirty-one million, seven hundred seventy-four thousand".