3659964 has 96 divisors (see below), whose sum is σ = 11321856. Its totient is φ = 890880.

The previous prime is 3659959. The next prime is 3659993. The reversal of 3659964 is 4699563.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15592 + ... + 15824.

It is an arithmetic number, because the mean of its divisors is an integer number (117936).

Almost surely, 2^3659964 is an apocalyptic number.

3659964 is a gapful number since it is divisible by the number (34) 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 3659964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660928).

3659964 is an abundant number, since it is smaller than the sum of its proper divisors (7661892).

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

3659964 is a wasteful number, since it uses less digits than its factorization.

3659964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 273 counting only the distinct ones).

The product of its digits is 174960, while the sum is 42.

The square root of 3659964 is about 1913.1032381970. The cubic root of 3659964 is about 154.1081491409.

It can be divided in two parts, 36599 and 64, that added together give a palindrome (36663).

The spelling of 3659964 in words is "three million, six hundred fifty-nine thousand, nine hundred sixty-four".