3893101056 has 480 divisors, whose sum is σ = 13137284160. Its totient is φ = 1142636544.

The previous prime is 3893101013. The next prime is 3893101057. The reversal of 3893101056 is 6501013983.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3893101056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3893101057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46904791 + ... + 46904873.

It is an arithmetic number, because the mean of its divisors is an integer number (27369342).

Almost surely, 2^3893101056 is an apocalyptic number.

3893101056 is a gapful number since it is divisible by the number (36) 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 3893101056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6568642080).

3893101056 is an abundant number, since it is smaller than the sum of its proper divisors (9244183104).

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

3893101056 is an equidigital number, since it uses as much as digits as its factorization.

3893101056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 3893101056 is about 62394.7197765965. The cubic root of 3893101056 is about 1573.1322185397.

The spelling of 3893101056 in words is "three billion, eight hundred ninety-three million, one hundred one thousand, fifty-six".