3826056689910 has 768 divisors, whose sum is σ = 13736102446080. Its totient is φ = 748392099840.

The previous prime is 3826056689881. The next prime is 3826056689921. The reversal of 3826056689910 is 199866506283.

3826056689910 is a `hidden beast` number, since 3 + 8 + 2 + 60 + 566 + 8 + 9 + 9 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 195886845 + ... + 195906375.

It is an arithmetic number, because the mean of its divisors is an integer number (17885550060).

Almost surely, 2^{3826056689910} is an apocalyptic number.

3826056689910 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3826056689910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6868051223040).

3826056689910 is an abundant number, since it is smaller than the sum of its proper divisors (9910045756170).

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

3826056689910 is a wasteful number, since it uses less digits than its factorization.

3826056689910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19658 (or 19645 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 3826056689910 in words is "three trillion, eight hundred twenty-six billion, fifty-six million, six hundred eighty-nine thousand, nine hundred ten".