3838330022400 has 1440 divisors, whose sum is σ = 15159889704960. Its totient is φ = 959038341120.

The previous prime is 3838330022389. The next prime is 3838330022489. The reversal of 3838330022400 is 42200338383.

It is a happy number.

3838330022400 is a `hidden beast` number, since 3 + 8 + 383 + 30 + 0 + 2 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 6323442897 + ... + 6323443503.

It is an arithmetic number, because the mean of its divisors is an integer number (10527701184).

Almost surely, 2^{3838330022400} is an apocalyptic number.

3838330022400 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 3838330022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7579944852480).

3838330022400 is an abundant number, since it is smaller than the sum of its proper divisors (11321559682560).

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

3838330022400 is a wasteful number, since it uses less digits than its factorization.

3838330022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 3838330022400 in words is "three trillion, eight hundred thirty-eight billion, three hundred thirty million, twenty-two thousand, four hundred".