3763368 has 128 divisors (see below), whose sum is σ = 12672000. Its totient is φ = 1010880.

The previous prime is 3763363. The next prime is 3763399. The reversal of 3763368 is 8633673.

3763368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 3³ + 7⁶ + 6⁷ + 3¹⁰ + 3¹³ + 6⁸ + 8⁵ .

Its product of digits (54432) is a multiple of the sum of its prime divisors (162).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3763363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28663 + ... + 28793.

It is an arithmetic number, because the mean of its divisors is an integer number (99000).

Almost surely, 2^3763368 is an apocalyptic number.

3763368 is a gapful number since it is divisible by the number (38) 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 3763368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6336000).

3763368 is an abundant number, since it is smaller than the sum of its proper divisors (8908632).

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

3763368 is a wasteful number, since it uses less digits than its factorization.

3763368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 162 counting only the distinct ones).

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

The square root of 3763368 is about 1939.9402052641. The cubic root of 3763368 is about 155.5460174046.

The spelling of 3763368 in words is "three million, seven hundred sixty-three thousand, three hundred sixty-eight".