3675840 has 112 divisors (see below), whose sum is σ = 13362432. Its totient is φ = 838656.

The previous prime is 3675829. The next prime is 3675853. The reversal of 3675840 is 485763.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6447 + ... + 6993.

Almost surely, 2^3675840 is an apocalyptic number.

3675840 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 3675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6681216).

3675840 is an abundant number, since it is smaller than the sum of its proper divisors (9686592).

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

3675840 is a wasteful number, since it uses less digits than its factorization.

3675840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 3675840 is about 1917.2480277731. The cubic root of 3675840 is about 154.3306551426.

The spelling of 3675840 in words is "three million, six hundred seventy-five thousand, eight hundred forty".