38242405920 has 96 divisors (see below), whose sum is σ = 120703830912. Its totient is φ = 10177636352.

The previous prime is 38242405867. The next prime is 38242405951. The reversal of 38242405920 is 2950424283.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×38242405920² (a number of 22 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 162244 + ... + 320636.

It is an arithmetic number, because the mean of its divisors is an integer number (1257331572).

Almost surely, 2^38242405920 is an apocalyptic number.

38242405920 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 38242405920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60351915456).

38242405920 is an abundant number, since it is smaller than the sum of its proper divisors (82461424992).

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

38242405920 is a wasteful number, since it uses less digits than its factorization.

38242405920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158914 (or 158906 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 38242405920 in words is "thirty-eight billion, two hundred forty-two million, four hundred five thousand, nine hundred twenty".