3873718579536 has 240 divisors, whose sum is σ = 12175829585920. Its totient is φ = 1141571543040.

The previous prime is 3873718579517. The next prime is 3873718579537. The reversal of 3873718579536 is 6359758173783.

3873718579536 is a `hidden beast` number, since 3 + 8 + 7 + 3 + 7 + 1 + 85 + 7 + 9 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3873718579537) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5285025 + ... + 5973183.

Almost surely, 2^{3873718579536} is an apocalyptic number.

3873718579536 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 3873718579536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6087914792960).

3873718579536 is an abundant number, since it is smaller than the sum of its proper divisors (8302111006384).

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

3873718579536 is a wasteful number, since it uses less digits than its factorization.

3873718579536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688314 (or 688305 counting only the distinct ones).

The product of its digits is 800150400, while the sum is 72.

The spelling of 3873718579536 in words is "three trillion, eight hundred seventy-three billion, seven hundred eighteen million, five hundred seventy-nine thousand, five hundred thirty-six".