3647040 has 112 divisors (see below), whose sum is σ = 12070080. Its totient is φ = 931840.

The previous prime is 3647029. The next prime is 3647071. The reversal of 3647040 is 407463.

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3647040.

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, 27775 + ... + 27905.

Almost surely, 2^3647040 is an apocalyptic number.

3647040 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 3647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6035040).

3647040 is an abundant number, since it is smaller than the sum of its proper divisors (8423040).

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

3647040 is a wasteful number, since it uses less digits than its factorization.

3647040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 3647040 is about 1909.7224929293. The cubic root of 3647040 is about 153.9265405536.

The spelling of 3647040 in words is "three million, six hundred forty-seven thousand, forty".