3783817993914 has 240 divisors, whose sum is σ = 10294041814056. Its totient is φ = 1034817638400.

The previous prime is 3783817993871. The next prime is 3783817993927. The reversal of 3783817993914 is 4193997183873.

3783817993914 is a `hidden beast` number, since 3 + 7 + 8 + 381 + 79 + 93 + 91 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3479594044689 + 304223949225 = 1865367^2 + 551565^2 .

It is a super-2 number, since 2×3783817993914² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17139594 + ... + 17358954.

Almost surely, 2^{3783817993914} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3783817993914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5147020907028).

3783817993914 is an abundant number, since it is smaller than the sum of its proper divisors (6510223820142).

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

3783817993914 is a wasteful number, since it uses less digits than its factorization.

3783817993914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219483 (or 219467 counting only the distinct ones).

The product of its digits is 246903552, while the sum is 72.

The spelling of 3783817993914 in words is "three trillion, seven hundred eighty-three billion, eight hundred seventeen million, nine hundred ninety-three thousand, nine hundred fourteen".