3381146000 has 40 divisors (see below), whose sum is σ = 8175615864. Its totient is φ = 1352457600.

The previous prime is 3381145987. The next prime is 3381146011. The reversal of 3381146000 is 6411833.

It can be written as a sum of positive squares in 4 ways, for example, as 447407104 + 2933738896 = 21152^2 + 54164^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3381146000² = 22864296546632000000, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 843287 + ... + 847286.

Almost surely, 2^3381146000 is an apocalyptic number.

It is an amenable number.

3381146000 is an abundant number, since it is smaller than the sum of its proper divisors (4794469864).

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

3381146000 is a wasteful number, since it uses less digits than its factorization.

3381146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690596 (or 1690580 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 3381146000 is about 58147.6224793413. The cubic root of 3381146000 is about 1500.9099663810.

Adding to 3381146000 its reverse (6411833), we get a palindrome (3387557833).

The spelling of 3381146000 in words is "three billion, three hundred eighty-one million, one hundred forty-six thousand".