380377536 has 168 divisors, whose sum is σ = 1264798080. Its totient is φ = 98757120.

The previous prime is 380377483. The next prime is 380377537. The reversal of 380377536 is 635773083.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380377537) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161455 + ... + 163793.

It is an arithmetic number, because the mean of its divisors is an integer number (7528560).

Almost surely, 2^380377536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380377536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632399040).

380377536 is an abundant number, since it is smaller than the sum of its proper divisors (884420544).

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

380377536 is a wasteful number, since it uses less digits than its factorization.

380377536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 42.

The square root of 380377536 is about 19503.2698796894. The cubic root of 380377536 is about 724.5554379585. Note that the first 3 decimals are identical.

The spelling of 380377536 in words is "three hundred eighty million, three hundred seventy-seven thousand, five hundred thirty-six".