3823741909152 has 576 divisors, whose sum is σ = 13131835831296. Its totient is φ = 1041092321280.

The previous prime is 3823741909123. The next prime is 3823741909181. The reversal of 3823741909152 is 2519091473283.

3823741909152 is a `hidden beast` number, since 3 + 82 + 374 + 190 + 9 + 1 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3823741909123) and next prime (3823741909181).

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 697378603 + ... + 697384085.

It is an arithmetic number, because the mean of its divisors is an integer number (22798326096).

Almost surely, 2^{3823741909152} is an apocalyptic number.

3823741909152 is a gapful number since it is divisible by the number (32) 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 3823741909152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6565917915648).

3823741909152 is an abundant number, since it is smaller than the sum of its proper divisors (9308093922144).

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

3823741909152 is a wasteful number, since it uses less digits than its factorization.

3823741909152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6113 (or 6102 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 3823741909152 in words is "three trillion, eight hundred twenty-three billion, seven hundred forty-one million, nine hundred nine thousand, one hundred fifty-two".