3813768 has 144 divisors (see below), whose sum is σ = 12804480. Its totient is φ = 1020096.

The previous prime is 3813757. The next prime is 3813769. The reversal of 3813768 is 8673183.

3813768 = 7³ + 8³ + ... + 62³.

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.

Its product of digits (24192) is a multiple of the sum of its prime factors (96).

It is not an unprimeable number, because it can be changed into a prime (3813769) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 81121 + ... + 81167.

It is an arithmetic number, because the mean of its divisors is an integer number (88920).

Almost surely, 2^3813768 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 3813768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6402240).

3813768 is an abundant number, since it is smaller than the sum of its proper divisors (8990712).

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

3813768 is a wasteful number, since it uses less digits than its factorization.

3813768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 82 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 3813768 is about 1952.8870935105. The cubic root of 3813768 is about 156.2373113963.

The spelling of 3813768 in words is "three million, eight hundred thirteen thousand, seven hundred sixty-eight".