3802338061200 has 600 divisors, whose sum is σ = 15815481137280. Its totient is φ = 856861286400.

The previous prime is 3802338061199. The next prime is 3802338061219. The reversal of 3802338061200 is 21608332083.

3802338061200 is a `hidden beast` number, since 3 + 8 + 0 + 2 + 3 + 38 + 0 + 612 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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 119 ways as a sum of consecutive naturals, for example, 15984736 + ... + 16220864.

Almost surely, 2^{3802338061200} is an apocalyptic number.

3802338061200 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 3802338061200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7907740568640).

3802338061200 is an abundant number, since it is smaller than the sum of its proper divisors (12013143076080).

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

3802338061200 is a wasteful number, since it uses less digits than its factorization.

3802338061200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236237 (or 236217 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 3802338061200 in words is "three trillion, eight hundred two billion, three hundred thirty-eight million, sixty-one thousand, two hundred".