3823772334336 has 360 divisors, whose sum is σ = 11819317171200. Its totient is φ = 1228264611840.

The previous prime is 3823772334299. The next prime is 3823772334337. The reversal of 3823772334336 is 6334332773283.

3823772334336 is a `hidden beast` number, since 3 + 8 + 2 + 3 + 77 + 233 + 4 + 336 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (3823772334337) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 153620580 + ... + 153645468.

Almost surely, 2^{3823772334336} is an apocalyptic number.

3823772334336 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 3823772334336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5909658585600).

3823772334336 is an abundant number, since it is smaller than the sum of its proper divisors (7995544836864).

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

3823772334336 is a wasteful number, since it uses less digits than its factorization.

3823772334336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25187 (or 25164 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 54.

The spelling of 3823772334336 in words is "three trillion, eight hundred twenty-three billion, seven hundred seventy-two million, three hundred thirty-four thousand, three hundred thirty-six".