3431916 has 48 divisors (see below), whose sum is σ = 9116800. Its totient is φ = 1115856.

The previous prime is 3431903. The next prime is 3431933. The reversal of 3431916 is 6191343.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3431916.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4275 + ... + 5013.

Almost surely, 2^3431916 is an apocalyptic number.

3431916 is a gapful number since it is divisible by the number (36) 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 3431916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4558400).

3431916 is an abundant number, since it is smaller than the sum of its proper divisors (5684884).

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

3431916 is a wasteful number, since it uses less digits than its factorization.

3431916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 787 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 3431916 is about 1852.5431169071. The cubic root of 3431916 is about 150.8385040062.

The spelling of 3431916 in words is "three million, four hundred thirty-one thousand, nine hundred sixteen".