38246232864 has 192 divisors, whose sum is σ = 120644778240. Its totient is φ = 10377400320.

The previous prime is 38246232863. The next prime is 38246232877. The reversal of 38246232864 is 46823264283.

It is a happy number.

It is a super-3 number, since 3×38246232864³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (38246232863) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1172682 + ... + 1204854.

It is an arithmetic number, because the mean of its divisors is an integer number (628358220).

Almost surely, 2^38246232864 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 38246232864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60322389120).

38246232864 is an abundant number, since it is smaller than the sum of its proper divisors (82398545376).

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

38246232864 is a wasteful number, since it uses less digits than its factorization.

38246232864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32283 (or 32275 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 48.

The spelling of 38246232864 in words is "thirty-eight billion, two hundred forty-six million, two hundred thirty-two thousand, eight hundred sixty-four".