3946203829638 has 160 divisors (see below), whose sum is σ = 10639089753600. Its totient is φ = 1067985513216.

The previous prime is 3946203829597. The next prime is 3946203829639. The reversal of 3946203829638 is 8369283026493.

3946203829638 is a `hidden beast` number, since 3 + 9 + 462 + 0 + 3 + 82 + 96 + 3 + 8 = 666.

3946203829638 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3946203829638² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3946203829639) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 248352798 + ... + 248368686.

It is an arithmetic number, because the mean of its divisors is an integer number (66494310960).

Almost surely, 2^{3946203829638} is an apocalyptic number.

3946203829638 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3946203829638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5319544876800).

3946203829638 is an abundant number, since it is smaller than the sum of its proper divisors (6692885923962).

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

3946203829638 is a wasteful number, since it uses less digits than its factorization.

3946203829638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27456 (or 27447 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 3946203829638 in words is "three trillion, nine hundred forty-six billion, two hundred three million, eight hundred twenty-nine thousand, six hundred thirty-eight".