380671200 has 648 divisors, whose sum is σ = 1701875448. Its totient is φ = 79349760.

The previous prime is 380671169. The next prime is 380671201. The reversal of 380671200 is 2176083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380671201) 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, 4586359 + ... + 4586441.

It is an arithmetic number, because the mean of its divisors is an integer number (2626351).

Almost surely, 2^380671200 is an apocalyptic number.

380671200 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 380671200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850937724).

380671200 is an abundant number, since it is smaller than the sum of its proper divisors (1321204248).

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

380671200 is a wasteful number, since it uses less digits than its factorization.

380671200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 113 counting only the distinct ones).

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

The square root of 380671200 is about 19510.7970108860. The cubic root of 380671200 is about 724.7418502242.

The spelling of 380671200 in words is "three hundred eighty million, six hundred seventy-one thousand, two hundred".