3815817932106 has 128 divisors (see below), whose sum is σ = 8624742624000. Its totient is φ = 1250293459968.

The previous prime is 3815817932077. The next prime is 3815817932107. The reversal of 3815817932106 is 6012397185183.

3815817932106 is a `hidden beast` number, since 38 + 1 + 581 + 7 + 9 + 3 + 21 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3815817932107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1974038316 + ... + 1974040248.

It is an arithmetic number, because the mean of its divisors is an integer number (67380801750).

Almost surely, 2^{3815817932106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3815817932106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4312371312000).

3815817932106 is an abundant number, since it is smaller than the sum of its proper divisors (4808924691894).

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

3815817932106 is a wasteful number, since it uses less digits than its factorization.

3815817932106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3445 (or 3439 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 3815817932106 in words is "three trillion, eight hundred fifteen billion, eight hundred seventeen million, nine hundred thirty-two thousand, one hundred six".