38381213952 has 54 divisors (see below), whose sum is σ = 110662508502. Its totient is φ = 12793737216.

The previous prime is 38381213921. The next prime is 38381213963. The reversal of 38381213952 is 25931218383.

38381213952 is a `hidden beast` number, since 3 + 8 + 381 + 213 + 9 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38034360576 + 346853376 = 195024^2 + 18624^2 .

It is a junction number, because it is equal to n+sod(n) for n = 38381213898 and 38381213907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8326953 + ... + 8331560.

It is an arithmetic number, because the mean of its divisors is an integer number (2049305713).

Almost surely, 2^38381213952 is an apocalyptic number.

38381213952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38381213952 is an abundant number, since it is smaller than the sum of its proper divisors (72281294550).

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

38381213952 is a wasteful number, since it uses less digits than its factorization.

38381213952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16658535 (or 16658518 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 38381213952 in words is "thirty-eight billion, three hundred eighty-one million, two hundred thirteen thousand, nine hundred fifty-two".