3800621260800 has 3024 divisors, whose sum is σ = 17800014163680. Its totient is φ = 792228003840.

The previous prime is 3800621260781. The next prime is 3800621260811. The reversal of 3800621260800 is 80621260083.

3800621260800 is a `hidden beast` number, since 3 + 8 + 0 + 0 + 621 + 26 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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 (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 45790617559 + ... + 45790617641.

It is an arithmetic number, because the mean of its divisors is an integer number (5886248070).

Almost surely, 2^{3800621260800} is an apocalyptic number.

3800621260800 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 3800621260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8900007081840).

3800621260800 is an abundant number, since it is smaller than the sum of its proper divisors (13999392902880).

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

3800621260800 is a wasteful number, since it uses less digits than its factorization.

3800621260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 3800621260800 in words is "three trillion, eight hundred billion, six hundred twenty-one million, two hundred sixty thousand, eight hundred".