3647640 has 64 divisors (see below), whose sum is σ = 11080800. Its totient is φ = 960512.

The previous prime is 3647629. The next prime is 3647641. The reversal of 3647640 is 467463.

3647640 is digitally balanced in base 2, 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 3647598 and 3647607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3647641) by changing a digit.

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, 13426 + ... + 13694.

Almost surely, 2^3647640 is an apocalyptic number.

3647640 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 3647640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5540400).

3647640 is an abundant number, since it is smaller than the sum of its proper divisors (7433160).

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

3647640 is a wasteful number, since it uses less digits than its factorization.

3647640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 3647640 is about 1909.8795773556. The cubic root of 3647640 is about 153.9349812672.

The spelling of 3647640 in words is "three million, six hundred forty-seven thousand, six hundred forty".