380866252800 has 624 divisors, whose sum is σ = 1407738024000. Its totient is φ = 90046464000.

The previous prime is 380866252747. The next prime is 380866252801. The reversal of 380866252800 is 8252668083.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 380866252800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380866252801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138545826 + ... + 138548574.

Almost surely, 2^380866252800 is an apocalyptic number.

380866252800 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 380866252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703869012000).

380866252800 is an abundant number, since it is smaller than the sum of its proper divisors (1026871771200).

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

380866252800 is a wasteful number, since it uses less digits than its factorization.

380866252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 380866252800 in words is "three hundred eighty billion, eight hundred sixty-six million, two hundred fifty-two thousand, eight hundred".