3826460814592 has 216 divisors, whose sum is σ = 8709726009600. Its totient is φ = 1673728303104.

The previous prime is 3826460814559. The next prime is 3826460814599. The reversal of 3826460814592 is 2954180646283.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3826460814599) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108445209 + ... + 108480487.

It is an arithmetic number, because the mean of its divisors is an integer number (40322805600).

Almost surely, 2^{3826460814592} is an apocalyptic number.

3826460814592 is a gapful number since it is divisible by the number (32) 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 3826460814592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354863004800).

3826460814592 is an abundant number, since it is smaller than the sum of its proper divisors (4883265195008).

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

3826460814592 is a wasteful number, since it uses less digits than its factorization.

3826460814592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35453 (or 35426 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 58.

The spelling of 3826460814592 in words is "three trillion, eight hundred twenty-six billion, four hundred sixty million, eight hundred fourteen thousand, five hundred ninety-two".