380723616 has 288 divisors, whose sum is σ = 1357574400. Its totient is φ = 98537472.

The previous prime is 380723611. The next prime is 380723627. The reversal of 380723616 is 616327083.

It is a happy number.

380723616 is a `hidden beast` number, since 38 + 0 + 7 + 2 + 3 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (380723611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1913085 + ... + 1913283.

It is an arithmetic number, because the mean of its divisors is an integer number (4713800).

Almost surely, 2^380723616 is an apocalyptic number.

380723616 is a gapful number since it is divisible by the number (36) 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 380723616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678787200).

380723616 is an abundant number, since it is smaller than the sum of its proper divisors (976850784).

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

380723616 is a wasteful number, since it uses less digits than its factorization.

380723616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 297 counting only the distinct ones).

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

The square root of 380723616 is about 19512.1402208984. The cubic root of 380723616 is about 724.7751128101.

The spelling of 380723616 in words is "three hundred eighty million, seven hundred twenty-three thousand, six hundred sixteen".