3481992 has 48 divisors (see below), whose sum is σ = 9526140. Its totient is φ = 1148928.

The previous prime is 3481979. The next prime is 3481999. The reversal of 3481992 is 2991843.

It can be written as a sum of positive squares in 2 ways, for example, as 3481956 + 36 = 1866^2 + 6^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3481999) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9688 + ... + 10040.

Almost surely, 2^3481992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3481992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4763070).

3481992 is an abundant number, since it is smaller than the sum of its proper divisors (6044148).

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

3481992 is a wasteful number, since it uses less digits than its factorization.

3481992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 495 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 3481992 is about 1866.0096462773. The cubic root of 3481992 is about 151.5686059892.

Subtracting from 3481992 its sum of digits (36), we obtain a square (3481956 = 1866²).

The spelling of 3481992 in words is "three million, four hundred eighty-one thousand, nine hundred ninety-two".