3813801376 has 96 divisors (see below), whose sum is σ = 9384173568. Its totient is φ = 1482243840.

The previous prime is 3813801361. The next prime is 3813801379. The reversal of 3813801376 is 6731083183.

It is a super-3 number, since 3×3813801376³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3813801379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1139161 + ... + 1142503.

It is an arithmetic number, because the mean of its divisors is an integer number (97751808).

Almost surely, 2^3813801376 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 3813801376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4692086784).

3813801376 is an abundant number, since it is smaller than the sum of its proper divisors (5570372192).

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

3813801376 is a wasteful number, since it uses less digits than its factorization.

3813801376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3834 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 3813801376 is about 61755.9825118182. The cubic root of 3813801376 is about 1562.3776716263.

The spelling of 3813801376 in words is "three billion, eight hundred thirteen million, eight hundred one thousand, three hundred seventy-six".