3829473493200 has 480 divisors, whose sum is σ = 14014147680000. Its totient is φ = 992480532480.

The previous prime is 3829473493189. The next prime is 3829473493283. The reversal of 3829473493200 is 23943749283.

3829473493200 is a `hidden beast` number, since 3 + 8 + 2 + 94 + 7 + 349 + 3 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 392801926 + ... + 392811674.

It is an arithmetic number, because the mean of its divisors is an integer number (29196141000).

Almost surely, 2^{3829473493200} is an apocalyptic number.

3829473493200 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 3829473493200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7007073840000).

3829473493200 is an abundant number, since it is smaller than the sum of its proper divisors (10184674186800).

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

3829473493200 is a wasteful number, since it uses less digits than its factorization.

3829473493200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10796 (or 10779 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 3829473493200 in words is "three trillion, eight hundred twenty-nine billion, four hundred seventy-three million, four hundred ninety-three thousand, two hundred".