38495673216 has 1152 divisors, whose sum is σ = 159991977600. Its totient is φ = 8709120000.

The previous prime is 38495673193. The next prime is 38495673253. The reversal of 38495673216 is 61237659483.

38495673216 is a `hidden beast` number, since 3 + 8 + 49 + 567 + 32 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 153369091 + ... + 153369341.

It is an arithmetic number, because the mean of its divisors is an integer number (138881925).

Almost surely, 2^38495673216 is an apocalyptic number.

38495673216 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 38495673216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79995988800).

38495673216 is an abundant number, since it is smaller than the sum of its proper divisors (121496304384).

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

38495673216 is a wasteful number, since it uses less digits than its factorization.

38495673216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 306 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 38495673216 in words is "thirty-eight billion, four hundred ninety-five million, six hundred seventy-three thousand, two hundred sixteen".