38449476576 has 480 divisors, whose sum is σ = 134465329152. Its totient is φ = 10546744320.

The previous prime is 38449476557. The next prime is 38449476601. The reversal of 38449476576 is 67567494483.

It is a happy number.

38449476576 is a `hidden beast` number, since 3 + 8 + 4 + 494 + 76 + 5 + 76 = 666.

38449476576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 110805235 + ... + 110805581.

Almost surely, 2^38449476576 is an apocalyptic number.

38449476576 is a gapful number since it is divisible by the number (36) 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 38449476576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67232664576).

38449476576 is an abundant number, since it is smaller than the sum of its proper divisors (96015852576).

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

38449476576 is a wasteful number, since it uses less digits than its factorization.

38449476576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 587 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 63.

The spelling of 38449476576 in words is "thirty-eight billion, four hundred forty-nine million, four hundred seventy-six thousand, five hundred seventy-six".