3629664 has 48 divisors (see below), whose sum is σ = 10589040. Its totient is φ = 1209600.

The previous prime is 3629657. The next prime is 3629671. The reversal of 3629664 is 4669263.

It is an interprime number because it is at equal distance from previous prime (3629657) and next prime (3629671).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 3⁴ + 6 + 2¹³ + 9 + 6⁸ + 6⁸ + 4⁹ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1237 + ... + 2964.

It is an arithmetic number, because the mean of its divisors is an integer number (220605).

Almost surely, 2^3629664 is an apocalyptic number.

It is an amenable number.

3629664 is an abundant number, since it is smaller than the sum of its proper divisors (6959376).

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

3629664 is a wasteful number, since it uses less digits than its factorization.

3629664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4220 (or 4206 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 3629664 is about 1905.1677091532. The cubic root of 3629664 is about 153.6816948227.

The spelling of 3629664 in words is "three million, six hundred twenty-nine thousand, six hundred sixty-four".