38267023968 has 192 divisors, whose sum is σ = 118025994240. Its totient is φ = 12042777600.

The previous prime is 38267023931. The next prime is 38267024017. The reversal of 38267023968 is 86932076283.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1080721 + ... + 1115567.

It is an arithmetic number, because the mean of its divisors is an integer number (614718720).

Almost surely, 2^38267023968 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 38267023968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59012997120).

38267023968 is an abundant number, since it is smaller than the sum of its proper divisors (79758970272).

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

38267023968 is a wasteful number, since it uses less digits than its factorization.

38267023968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34938 (or 34924 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 38267023968 in words is "thirty-eight billion, two hundred sixty-seven million, twenty-three thousand, nine hundred sixty-eight".