3712290 has 64 divisors (see below), whose sum is σ = 9797760. Its totient is φ = 896000.

The previous prime is 3712283. The next prime is 3712297. The reversal of 3712290 is 922173.

It is an interprime number because it is at equal distance from previous prime (3712283) and next prime (3712297).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3712290.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3712297) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14665 + ... + 14915.

It is an arithmetic number, because the mean of its divisors is an integer number (153090).

Almost surely, 2^3712290 is an apocalyptic number.

3712290 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3712290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4898880).

3712290 is an abundant number, since it is smaller than the sum of its proper divisors (6085470).

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

3712290 is a wasteful number, since it uses less digits than its factorization.

3712290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307.

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 3712290 is about 1926.7303911030. The cubic root of 3712290 is about 154.8390976833.

The spelling of 3712290 in words is "three million, seven hundred twelve thousand, two hundred ninety".