380919600 has 180 divisors, whose sum is σ = 1391720200. Its totient is φ = 96215040.

The previous prime is 380919587. The next prime is 380919641. The reversal of 380919600 is 6919083.

380919600 is a `hidden beast` number, since 38 + 0 + 9 + 19 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65616 + ... + 71184.

Almost surely, 2^380919600 is an apocalyptic number.

380919600 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 380919600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695860100).

380919600 is an abundant number, since it is smaller than the sum of its proper divisors (1010800600).

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

380919600 is a wasteful number, since it uses less digits than its factorization.

380919600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5612 (or 5598 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 380919600 is about 19517.1616788917. The cubic root of 380919600 is about 724.8994549430.

It can be divided in two parts, 3809 and 19600, that added together give a square (23409 = 153²).

The spelling of 380919600 in words is "three hundred eighty million, nine hundred nineteen thousand, six hundred".