3768336 has 160 divisors (see below), whose sum is σ = 12915840. Its totient is φ = 1036800.

The previous prime is 3768311. The next prime is 3768341. The reversal of 3768336 is 6338673.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3768336.

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, 61746 + ... + 61806.

It is an arithmetic number, because the mean of its divisors is an integer number (80724).

Almost surely, 2^3768336 is an apocalyptic number.

3768336 is a gapful number since it is divisible by the number (36) 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 3768336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6457920).

3768336 is an abundant number, since it is smaller than the sum of its proper divisors (9147504).

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

3768336 is a wasteful number, since it uses less digits than its factorization.

3768336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 90 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 3768336 is about 1941.2202348008. The cubic root of 3768336 is about 155.6144324367.

The spelling of 3768336 in words is "three million, seven hundred sixty-eight thousand, three hundred thirty-six".