3813376 has 78 divisors (see below), whose sum is σ = 9337740. Its totient is φ = 1548288.

The previous prime is 3813353. The next prime is 3813379. The reversal of 3813376 is 6733183.

Its product of digits (9072) is a multiple of the sum of its prime divisors (28).

It is not an unprimeable number, because it can be changed into a prime (3813379) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 200695 + ... + 200713.

Almost surely, 2^3813376 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 3813376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4668870).

3813376 is an abundant number, since it is smaller than the sum of its proper divisors (5524364).

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

3813376 is an equidigital number, since it uses as much as digits as its factorization.

3813376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 28 counting only the distinct ones).

The product of its digits is 9072, while the sum is 31.

The square root of 3813376 is about 1952.7867267062. The cubic root of 3813376 is about 156.2319582368.

The spelling of 3813376 in words is "three million, eight hundred thirteen thousand, three hundred seventy-six".