38968249824 has 288 divisors, whose sum is σ = 134399865600. Its totient is φ = 10874207232.

The previous prime is 38968249807. The next prime is 38968249829. The reversal of 38968249824 is 42894286983.

38968249824 is a `hidden beast` number, since 3 + 89 + 68 + 2 + 498 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38968249829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2332252 + ... + 2348900.

It is an arithmetic number, because the mean of its divisors is an integer number (466666200).

Almost surely, 2^38968249824 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 38968249824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67199932800).

38968249824 is an abundant number, since it is smaller than the sum of its proper divisors (95431615776).

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

38968249824 is a wasteful number, since it uses less digits than its factorization.

38968249824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16724 (or 16704 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 63.

The spelling of 38968249824 in words is "thirty-eight billion, nine hundred sixty-eight million, two hundred forty-nine thousand, eight hundred twenty-four".