3733488 has 60 divisors (see below), whose sum is σ = 11403288. Its totient is φ = 1130880.

The previous prime is 3733463. The next prime is 3733507. The reversal of 3733488 is 8843373.

It is a super-2 number, since 2×3733488² = 27877865292288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 3³ + 7⁴ + 3⁸ + 3¹³ + 4⁴ + 8⁵ + 8⁷ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 406 + ... + 2762.

Almost surely, 2^3733488 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 3733488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5701644).

3733488 is an abundant number, since it is smaller than the sum of its proper divisors (7669800).

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

3733488 is a wasteful number, since it uses less digits than its factorization.

3733488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2382 (or 2373 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 3733488 is about 1932.2235895465. The cubic root of 3733488 is about 155.1332603540.

The spelling of 3733488 in words is "three million, seven hundred thirty-three thousand, four hundred eighty-eight".