3768821637120 has 896 divisors, whose sum is σ = 13923903836160. Its totient is φ = 966131712000.

The previous prime is 3768821637083. The next prime is 3768821637143. The reversal of 3768821637120 is 217361288673.

It is a happy number.

3768821637120 is a `hidden beast` number, since 37 + 6 + 8 + 8 + 216 + 371 + 20 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7233822460 + ... + 7233822980.

Almost surely, 2^{3768821637120} is an apocalyptic number.

3768821637120 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 3768821637120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6961951918080).

3768821637120 is an abundant number, since it is smaller than the sum of its proper divisors (10155082199040).

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

3768821637120 is a wasteful number, since it uses less digits than its factorization.

3768821637120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 3768821637120 in words is "three trillion, seven hundred sixty-eight billion, eight hundred twenty-one million, six hundred thirty-seven thousand, one hundred twenty".