3140672 has 28 divisors (see below), whose sum is σ = 6437376. Its totient is φ = 1518720.

The previous prime is 3140659. The next prime is 3140693. The reversal of 3140672 is 2760413.

3140672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3140672³ = 92937075623474233344, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

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 3 ways as a sum of consecutive naturals, for example, 1193 + ... + 2775.

Almost surely, 2^3140672 is an apocalyptic number.

3140672 is a gapful number since it is divisible by the number (32) 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 3140672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218688).

3140672 is an abundant number, since it is smaller than the sum of its proper divisors (3296704).

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

3140672 is a wasteful number, since it uses less digits than its factorization.

3140672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 3140672 is about 1772.1941202927. The cubic root of 3140672 is about 146.4448805834. Note that the first 3 decimals are identical.

The spelling of 3140672 in words is "three million, one hundred forty thousand, six hundred seventy-two".