380262816940032 has 1848 divisors, whose sum is σ = 1320464512986444. Its totient is φ = 108754410405888.

The previous prime is 380262816939961. The next prime is 380262816940033. The reversal of 380262816940032 is 230049618262083.

380262816940032 is a `hidden beast` number, since 3 + 8 + 0 + 2 + 628 + 1 + 6 + 9 + 4 + 0 + 0 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 377779242663936 + 2483574276096 = 19436544^2 + 1575936^2 .

It is a super-2 number, since 2×380262816940032² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (380262816940033) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 7174770130918 + ... + 7174770130970.

Almost surely, 2^{380262816940032} is an apocalyptic number.

380262816940032 is a gapful number since it is divisible by the number (32) 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 380262816940032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660232256493222).

380262816940032 is an abundant number, since it is smaller than the sum of its proper divisors (940201696046412).

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

380262816940032 is an frugal number, since it uses more digits than its factorization.

380262816940032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 380262816940032 in words is "three hundred eighty trillion, two hundred sixty-two billion, eight hundred sixteen million, nine hundred forty thousand, thirty-two".