3768101683200 has 1440 divisors, whose sum is σ = 14822217984000. Its totient is φ = 936404582400.

The previous prime is 3768101683121. The next prime is 3768101683243. The reversal of 3768101683200 is 23861018673.

3768101683200 is a `hidden beast` number, since 376 + 8 + 10 + 1 + 68 + 3 + 200 = 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 (45).

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, 9942220611 + ... + 9942220989.

Almost surely, 2^{3768101683200} is an apocalyptic number.

3768101683200 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 3768101683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7411108992000).

3768101683200 is an abundant number, since it is smaller than the sum of its proper divisors (11054116300800).

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

3768101683200 is a wasteful number, since it uses less digits than its factorization.

3768101683200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 3768101683200 in words is "three trillion, seven hundred sixty-eight billion, one hundred one million, six hundred eighty-three thousand, two hundred".