3633840 has 180 divisors, whose sum is σ = 14333904. Its totient is φ = 822528.

The previous prime is 3633821. The next prime is 3633853. The reversal of 3633840 is 483363.

3633840 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35229 + ... + 35331.

Almost surely, 2^3633840 is an apocalyptic number.

3633840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3633840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7166952).

3633840 is an abundant number, since it is smaller than the sum of its proper divisors (10700064).

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

3633840 is a wasteful number, since it uses less digits than its factorization.

3633840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3633840 is about 1906.2633606089. The cubic root of 3633840 is about 153.7406101741.

The spelling of 3633840 in words is "three million, six hundred thirty-three thousand, eight hundred forty".