3634760 has 32 divisors (see below), whose sum is σ = 8278200. Its totient is φ = 1436160.

The previous prime is 3634727. The next prime is 3634777. The reversal of 3634760 is 674363.

It can be written as a sum of positive squares in 4 ways, for example, as 2515396 + 1119364 = 1586^2 + 1058^2 .

It is a super-2 number, since 2×3634760² = 26422960515200, which contains 22 as substring.

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, 3050 + ... + 4070.

Almost surely, 2^3634760 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 3634760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139100).

3634760 is an abundant number, since it is smaller than the sum of its proper divisors (4643440).

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

3634760 is a wasteful number, since it uses less digits than its factorization.

3634760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 29.

The square root of 3634760 is about 1906.5046551215. The cubic root of 3634760 is about 153.7535835417.

The spelling of 3634760 in words is "three million, six hundred thirty-four thousand, seven hundred sixty".