380167200 has 432 divisors, whose sum is σ = 1616771520. Its totient is φ = 82114560.

The previous prime is 380167187. The next prime is 380167213. The reversal of 380167200 is 2761083.

It is an interprime number because it is at equal distance from previous prime (380167187) and next prime (380167213).

It is a super-3 number, since 3×380167200³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 957402 + ... + 957798.

Almost surely, 2^380167200 is an apocalyptic number.

380167200 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 380167200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808385760).

380167200 is an abundant number, since it is smaller than the sum of its proper divisors (1236604320).

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

380167200 is a wasteful number, since it uses less digits than its factorization.

380167200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 380167200 is about 19497.8768074886. The cubic root of 380167200 is about 724.4218617283.

The spelling of 380167200 in words is "three hundred eighty million, one hundred sixty-seven thousand, two hundred".