3862380121600 has 480 divisors, whose sum is σ = 12848398649856. Its totient is φ = 1111250534400.

The previous prime is 3862380121583. The next prime is 3862380121631. The reversal of 3862380121600 is 61210832683.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12662077 + ... + 12963523.

Almost surely, 2^{3862380121600} 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 3862380121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6424199324928).

3862380121600 is an abundant number, since it is smaller than the sum of its proper divisors (8986018528256).

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

3862380121600 is a wasteful number, since it uses less digits than its factorization.

3862380121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301506 (or 301485 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 3862380121600 in words is "three trillion, eight hundred sixty-two billion, three hundred eighty million, one hundred twenty-one thousand, six hundred".