3381147 has 72 divisors (see below), whose sum is σ = 6722352. Its totient is φ = 1612800.

The previous prime is 3381143. The next prime is 3381149. The reversal of 3381147 is 7411833.

It is not a de Polignac number, because 3381147 - 2² = 3381143 is a prime.

It is a super-2 number, since 2×3381147² = 22864310071218, which contains 22 as substring.

3381147 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 3381147.

It is not an unprimeable number, because it can be changed into a prime (3381143) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82447 + ... + 82487.

It is an arithmetic number, because the mean of its divisors is an integer number (93366).

Almost surely, 2^3381147 is an apocalyptic number.

3381147 is a deficient number, since it is larger than the sum of its proper divisors (3341205).

3381147 is a wasteful number, since it uses less digits than its factorization.

3381147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 79 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 3381147 is about 1838.7895475013. The cubic root of 3381147 is about 150.0910114350.

It can be divided in two parts, 338 and 1147, that added together give a triangular number (1485 = T₅₄).

The spelling of 3381147 in words is "three million, three hundred eighty-one thousand, one hundred forty-seven".