3381312000 has 320 divisors, whose sum is σ = 12271678848. Its totient is φ = 819200000.

The previous prime is 3381311993. The next prime is 3381312049. The reversal of 3381312000 is 2131833.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×3381312000² = 22866541682688000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2111200 + ... + 2112800.

Almost surely, 2^3381312000 is an apocalyptic number.

3381312000 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 3381312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6135839424).

3381312000 is an abundant number, since it is smaller than the sum of its proper divisors (8890366848).

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

3381312000 is a wasteful number, since it uses less digits than its factorization.

3381312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 3381312000 is about 58149.0498632609. The cubic root of 3381312000 is about 1500.9345287609.

Adding to 3381312000 its reverse (2131833), we get a palindrome (3383443833).

The spelling of 3381312000 in words is "three billion, three hundred eighty-one million, three hundred twelve thousand".