3669624 has 80 divisors (see below), whose sum is σ = 11761200. Its totient is φ = 1047168.

The previous prime is 3669613. The next prime is 3669643. The reversal of 3669624 is 4269663.

It is a super-2 number, since 2×3669624² = 26932280602752, which contains 22 as substring.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4132 + ... + 4940.

It is an arithmetic number, because the mean of its divisors is an integer number (147015).

Almost surely, 2^3669624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3669624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5880600).

3669624 is an abundant number, since it is smaller than the sum of its proper divisors (8091576).

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

3669624 is a wasteful number, since it uses less digits than its factorization.

3669624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 821 counting only the distinct ones).

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

The square root of 3669624 is about 1915.6262683519. The cubic root of 3669624 is about 154.2436128510.

The spelling of 3669624 in words is "three million, six hundred sixty-nine thousand, six hundred twenty-four".