3813190680 has 128 divisors (see below), whose sum is σ = 12339633600. Its totient is φ = 937101312.

The previous prime is 3813190673. The next prime is 3813190687. The reversal of 3813190680 is 860913183.

It is an interprime number because it is at equal distance from previous prime (3813190673) and next prime (3813190687).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3813190687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1179306 + ... + 1182534.

Almost surely, 2^3813190680 is an apocalyptic number.

3813190680 is a gapful number since it is divisible by the number (30) 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 3813190680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6169816800).

3813190680 is an abundant number, since it is smaller than the sum of its proper divisors (8526442920).

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

3813190680 is a wasteful number, since it uses less digits than its factorization.

3813190680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4013 (or 4009 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 3813190680 is about 61751.0378860145. The cubic root of 3813190680 is about 1562.2942737570.

The spelling of 3813190680 in words is "three billion, eight hundred thirteen million, one hundred ninety thousand, six hundred eighty".