380667600 has 300 divisors, whose sum is σ = 1413976960. Its totient is φ = 97977600.

The previous prime is 380667593. The next prime is 380667607. The reversal of 380667600 is 6766083.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (380667593) and next prime (380667607).

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380667607) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1004211 + ... + 1004589.

Almost surely, 2^380667600 is an apocalyptic number.

380667600 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 380667600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706988480).

380667600 is an abundant number, since it is smaller than the sum of its proper divisors (1033309360).

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

380667600 is a wasteful number, since it uses less digits than its factorization.

380667600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 380667600 is about 19510.7047540575. The cubic root of 380667600 is about 724.7395655939.

The spelling of 380667600 in words is "three hundred eighty million, six hundred sixty-seven thousand, six hundred".