3651840 has 108 divisors (see below), whose sum is σ = 12674844. Its totient is φ = 970752.

The previous prime is 3651839. The next prime is 3651847. The reversal of 3651840 is 481563.

3651840 is a `hidden beast` number, since 3 + 651 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 665856 + 2985984 = 816^2 + 1728^2 .

It is not an unprimeable number, because it can be changed into a prime (3651847) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11362 + ... + 11678.

Almost surely, 2^3651840 is an apocalyptic number.

3651840 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 3651840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6337422).

3651840 is an abundant number, since it is smaller than the sum of its proper divisors (9023004).

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

3651840 is a wasteful number, since it uses less digits than its factorization.

3651840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3651840 is about 1910.9788067899. The cubic root of 3651840 is about 153.9940403608.

The spelling of 3651840 in words is "three million, six hundred fifty-one thousand, eight hundred forty".