38949882048 has 1344 divisors, whose sum is σ = 160115097600. Its totient is φ = 9144576000.

The previous prime is 38949882047. The next prime is 38949882053. The reversal of 38949882048 is 84028894983.

38949882048 is a `hidden beast` number, since 3 + 89 + 498 + 8 + 20 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×38949882048² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38949882047) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 548589853 + ... + 548589923.

Almost surely, 2^38949882048 is an apocalyptic number.

38949882048 is a gapful number since it is divisible by the number (38) 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 38949882048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80057548800).

38949882048 is an abundant number, since it is smaller than the sum of its proper divisors (121165215552).

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

38949882048 is a wasteful number, since it uses less digits than its factorization.

38949882048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 38949882048 in words is "thirty-eight billion, nine hundred forty-nine million, eight hundred eighty-two thousand, forty-eight".