3437112 has 64 divisors (see below), whose sum is σ = 10080000. Its totient is φ = 956160.

The previous prime is 3437107. The next prime is 3437117. The reversal of 3437112 is 2117343.

It is an interprime number because it is at equal distance from previous prime (3437107) and next prime (3437117).

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3437117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6639 + ... + 7137.

It is an arithmetic number, because the mean of its divisors is an integer number (157500).

Almost surely, 2^3437112 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 3437112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040000).

3437112 is an abundant number, since it is smaller than the sum of its proper divisors (6642888).

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

3437112 is a wasteful number, since it uses less digits than its factorization.

3437112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 552 counting only the distinct ones).

The product of its digits is 504, while the sum is 21.

The square root of 3437112 is about 1853.9449830025. The cubic root of 3437112 is about 150.9145899455.

The spelling of 3437112 in words is "three million, four hundred thirty-seven thousand, one hundred twelve".