3691440 has 80 divisors (see below), whose sum is σ = 12722400. Its totient is φ = 983808.

The previous prime is 3691403. The next prime is 3691447. The reversal of 3691440 is 441963.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3691447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1306 + ... + 3014.

It is an arithmetic number, because the mean of its divisors is an integer number (159030).

Almost surely, 2^3691440 is an apocalyptic number.

3691440 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 3691440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6361200).

3691440 is an abundant number, since it is smaller than the sum of its proper divisors (9030960).

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

3691440 is a wasteful number, since it uses less digits than its factorization.

3691440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3691440 is about 1921.3120516980. The cubic root of 3691440 is about 154.5486697454.

The spelling of 3691440 in words is "three million, six hundred ninety-one thousand, four hundred forty".