38682249408 has 224 divisors, whose sum is σ = 124760736000. Its totient is φ = 11655383040.

The previous prime is 38682249391. The next prime is 38682249409. The reversal of 38682249408 is 80494228683.

38682249408 is a `hidden beast` number, since 3 + 8 + 6 + 8 + 224 + 9 + 408 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (38682249409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3396748 + ... + 3408116.

Almost surely, 2^38682249408 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 38682249408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62380368000).

38682249408 is an abundant number, since it is smaller than the sum of its proper divisors (86078486592).

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

38682249408 is a wasteful number, since it uses less digits than its factorization.

38682249408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11580 (or 11564 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 38682249408 in words is "thirty-eight billion, six hundred eighty-two million, two hundred forty-nine thousand, four hundred eight".