3634840 has 48 divisors (see below), whose sum is σ = 9001440. Its totient is φ = 1320000.

The previous prime is 3634811. The next prime is 3634859. The reversal of 3634840 is 484363.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3634799 and 3634808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4465 + ... + 5215.

It is an arithmetic number, because the mean of its divisors is an integer number (187530).

Almost surely, 2^3634840 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 3634840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4500720).

3634840 is an abundant number, since it is smaller than the sum of its proper divisors (5366600).

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

3634840 is a wasteful number, since it uses less digits than its factorization.

3634840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 3634840 is about 1906.5256358098. The cubic root of 3634840 is about 153.7547115572.

The spelling of 3634840 in words is "three million, six hundred thirty-four thousand, eight hundred forty".