3381954000 has 160 divisors (see below), whose sum is σ = 10933228800. Its totient is φ = 899392000.

The previous prime is 3381953983. The next prime is 3381954011. The reversal of 3381954000 is 4591833.

It is a super-2 number, since 2×3381954000² = 22875225716232000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3593530 + ... + 3594470.

It is an arithmetic number, because the mean of its divisors is an integer number (68332680).

Almost surely, 2^3381954000 is an apocalyptic number.

3381954000 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 3381954000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5466614400).

3381954000 is an abundant number, since it is smaller than the sum of its proper divisors (7551274800).

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

3381954000 is a wasteful number, since it uses less digits than its factorization.

3381954000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 3381954000 is about 58154.5698978163. The cubic root of 3381954000 is about 1501.0295154592.

The spelling of 3381954000 in words is "three billion, three hundred eighty-one million, nine hundred fifty-four thousand".