3643440 has 160 divisors (see below), whose sum is σ = 12856320. Its totient is φ = 847872.

The previous prime is 3643429. The next prime is 3643447. The reversal of 3643440 is 443463.

3643440 = T₄₅ + T₄₆ + ... + T₂₇₉.

3643440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3643440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3643447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77497 + ... + 77543.

It is an arithmetic number, because the mean of its divisors is an integer number (80352).

Almost surely, 2^3643440 is an apocalyptic number.

3643440 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 3643440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428160).

3643440 is an abundant number, since it is smaller than the sum of its proper divisors (9212880).

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

3643440 is a wasteful number, since it uses less digits than its factorization.

3643440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3643440 is about 1908.7797148964. The cubic root of 3643440 is about 153.8758768213.

The spelling of 3643440 in words is "three million, six hundred forty-three thousand, four hundred forty".