3827198793600 has 3456 divisors, whose sum is σ = 18543659796480. Its totient is φ = 730968883200.

The previous prime is 3827198793589. The next prime is 3827198793689. The reversal of 3827198793600 is 63978917283.

3827198793600 is a `hidden beast` number, since 3 + 8 + 2 + 7 + 19 + 8 + 7 + 9 + 3 + 600 = 666.

3827198793600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 23479747119 + ... + 23479747281.

Almost surely, 2^{3827198793600} is an apocalyptic number.

3827198793600 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 3827198793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9271829898240).

3827198793600 is an abundant number, since it is smaller than the sum of its proper divisors (14716461002880).

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

3827198793600 is a wasteful number, since it uses less digits than its factorization.

3827198793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 3827198793600 in words is "three trillion, eight hundred twenty-seven billion, one hundred ninety-eight million, seven hundred ninety-three thousand, six hundred".