3829681152000 has 1344 divisors, whose sum is σ = 15483784575168. Its totient is φ = 902430720000.

The previous prime is 3829681151971. The next prime is 3829681152007. The reversal of 3829681152000 is 2511869283.

3829681152000 is a `hidden beast` number, since 38 + 2 + 96 + 8 + 1 + 1 + 520 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3829681152007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3750911490 + ... + 3750912510.

It is an arithmetic number, because the mean of its divisors is an integer number (11520673047).

Almost surely, 2^{3829681152000} is an apocalyptic number.

3829681152000 is a gapful number since it is divisible by the number (30) 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 3829681152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7741892287584).

3829681152000 is an abundant number, since it is smaller than the sum of its proper divisors (11654103423168).

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

3829681152000 is a wasteful number, since it uses less digits than its factorization.

3829681152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 3829681152000 in words is "three trillion, eight hundred twenty-nine billion, six hundred eighty-one million, one hundred fifty-two thousand".