3626640 has 160 divisors (see below), whose sum is σ = 13213440. Its totient is φ = 912384.

The previous prime is 3626639. The next prime is 3626641. The reversal of 3626640 is 466263.

3626640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3626639) and next prime (3626641).

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 (3626641) 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 31 ways as a sum of consecutive naturals, for example, 49644 + ... + 49716.

It is an arithmetic number, because the mean of its divisors is an integer number (82584).

Almost surely, 2^3626640 is an apocalyptic number.

3626640 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 3626640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6606720).

3626640 is an abundant number, since it is smaller than the sum of its proper divisors (9586800).

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

3626640 is a wasteful number, since it uses less digits than its factorization.

3626640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3626640 is about 1904.3739128648. The cubic root of 3626640 is about 153.6390037668.

The spelling of 3626640 in words is "three million, six hundred twenty-six thousand, six hundred forty".