38767401248 has 48 divisors (see below), whose sum is σ = 77641515000. Its totient is φ = 19049472000.

The previous prime is 38767401247. The next prime is 38767401259. The reversal of 38767401248 is 84210476783.

It can be written as a sum of positive squares in 4 ways, for example, as 33236206864 + 5531194384 = 182308^2 + 74372^2 .

It is a super-2 number, since 2×38767401248² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38767401196 and 38767401205.

It is not an unprimeable number, because it can be changed into a prime (38767401247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2430098 + ... + 2445998.

Almost surely, 2^38767401248 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 38767401248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38820757500).

38767401248 is an abundant number, since it is smaller than the sum of its proper divisors (38874113752).

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

38767401248 is a wasteful number, since it uses less digits than its factorization.

38767401248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17221 (or 17213 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 50.

The spelling of 38767401248 in words is "thirty-eight billion, seven hundred sixty-seven million, four hundred one thousand, two hundred forty-eight".