383846400000 has 1620 divisors, whose sum is σ = 1707102636876. Its totient is φ = 82575360000.

The previous prime is 383846399941. The next prime is 383846400001. The reversal of 383846400000 is 4648383.

383846400000 is a `hidden beast` number, since 3 + 8 + 3 + 8 + 4 + 640 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 269136838656 + 114709561344 = 518784^2 + 338688^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383846400001) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 22579199992 + ... + 22579200008.

Almost surely, 2^383846400000 is an apocalyptic number.

383846400000 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 383846400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853551318438).

383846400000 is an abundant number, since it is smaller than the sum of its proper divisors (1323256236876).

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

383846400000 is an frugal number, since it uses more digits than its factorization.

383846400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 383846400000 in words is "three hundred eighty-three billion, eight hundred forty-six million, four hundred thousand".