3807121038800 has 150 divisors (see below), whose sum is σ = 9718349749758. Its totient is φ = 1433256519680.

The previous prime is 3807121038797. The next prime is 3807121038839. The reversal of 3807121038800 is 88301217083.

It can be written as a sum of positive squares in 15 ways, for example, as 818330107456 + 2988790931344 = 904616^2 + 1728812^2 .

It is a super-2 number, since 2×3807121038800² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 33351422 + ... + 33465378.

Almost surely, 2^{3807121038800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3807121038800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4859174874879).

3807121038800 is an abundant number, since it is smaller than the sum of its proper divisors (5911228710958).

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

3807121038800 is an equidigital number, since it uses as much as digits as its factorization.

3807121038800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114043 (or 113981 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The spelling of 3807121038800 in words is "three trillion, eight hundred seven billion, one hundred twenty-one million, thirty-eight thousand, eight hundred".