3642408 has 160 divisors (see below), whose sum is σ = 12893760. Its totient is φ = 933120.

The previous prime is 3642377. The next prime is 3642427. The reversal of 3642408 is 8042463.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49860 + ... + 49932.

It is an arithmetic number, because the mean of its divisors is an integer number (80586).

Almost surely, 2^3642408 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 3642408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6446880).

3642408 is an abundant number, since it is smaller than the sum of its proper divisors (9251352).

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

3642408 is a wasteful number, since it uses less digits than its factorization.

3642408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3642408 is about 1908.5093659713. The cubic root of 3642408 is about 153.8613470636.

It can be divided in two parts, 364 and 2408, that added together give a palindrome (2772).

The spelling of 3642408 in words is "three million, six hundred forty-two thousand, four hundred eight".