3591840 has 96 divisors (see below), whose sum is σ = 12942720. Its totient is φ = 820224.

The previous prime is 3591839. The next prime is 3591851. The reversal of 3591840 is 481953.

3591840 = T₅₅ + T₅₆ + ... + T₂₇₈.

3591840 is digitally balanced in base 2, 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3591798 and 3591807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2826 + ... + 3894.

It is an arithmetic number, because the mean of its divisors is an integer number (134820).

Almost surely, 2^3591840 is an apocalyptic number.

3591840 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 3591840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6471360).

3591840 is an abundant number, since it is smaller than the sum of its proper divisors (9350880).

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

3591840 is a wasteful number, since it uses less digits than its factorization.

3591840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 3591840 is about 1895.2150273782. The cubic root of 3591840 is about 153.1460010069.

The spelling of 3591840 in words is "three million, five hundred ninety-one thousand, eight hundred forty".