380167368000 has 448 divisors, whose sum is σ = 1497034027008. Its totient is φ = 83116492800.

The previous prime is 380167367969. The next prime is 380167368041. The reversal of 380167368000 is 863761083.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3814807 + ... + 3913193.

Almost surely, 2^380167368000 is an apocalyptic number.

380167368000 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 380167368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748517013504).

380167368000 is an abundant number, since it is smaller than the sum of its proper divisors (1116866659008).

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

380167368000 is a wasteful number, since it uses less digits than its factorization.

380167368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98447 (or 98427 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 380167368000 in words is "three hundred eighty billion, one hundred sixty-seven million, three hundred sixty-eight thousand".