3820357900800 has 360 divisors, whose sum is σ = 15625153411296. Its totient is φ = 873224478720.

The previous prime is 3820357900781. The next prime is 3820357900817. The reversal of 3820357900800 is 80097530283.

3820357900800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

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 35 ways as a sum of consecutive naturals, for example, 1562374 + ... + 3175173.

Almost surely, 2^{3820357900800} is an apocalyptic number.

3820357900800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3820357900800 is an abundant number, since it is smaller than the sum of its proper divisors (11804795510496).

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

3820357900800 is a wasteful number, since it uses less digits than its factorization.

3820357900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4737588 (or 4737564 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 3820357900800 in words is "three trillion, eight hundred twenty billion, three hundred fifty-seven million, nine hundred thousand, eight hundred".