3712000 has 88 divisors (see below), whose sum is σ = 9579960. Its totient is φ = 1433600.

The previous prime is 3711989. The next prime is 3712019. The reversal of 3712000 is 2173.

It can be written as a sum of positive squares in 4 ways, for example, as 147456 + 3564544 = 384^2 + 1888^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127986 + ... + 128014.

Almost surely, 2^3712000 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 3712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4789980).

3712000 is an abundant number, since it is smaller than the sum of its proper divisors (5867960).

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

3712000 is an equidigital number, since it uses as much as digits as its factorization.

3712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 3712000 is about 1926.6551326068. The cubic root of 3712000 is about 154.8350656251.

Adding to 3712000 its reverse (2173), we get a palindrome (3714173).

The spelling of 3712000 in words is "three million, seven hundred twelve thousand".