38196552446976 has 704 divisors, whose sum is σ = 129478329630720. Its totient is φ = 9723836989440.

The previous prime is 38196552446861. The next prime is 38196552446977. The reversal of 38196552446976 is 67964425569183.

It is a tau number, because it is divible by the number of its divisors (704).

Its product of digits (2351462400) is a multiple of the sum of its prime divisors (15552).

It is a junction number, because it is equal to n+sod(n) for n = 38196552446898 and 38196552446907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38196552446977) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2493402645 + ... + 2493417963.

Almost surely, 2^{38196552446976} 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 38196552446976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64739164815360).

38196552446976 is an abundant number, since it is smaller than the sum of its proper divisors (91281777183744).

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

38196552446976 is a wasteful number, since it uses less digits than its factorization.

38196552446976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15570 (or 15552 counting only the distinct ones).

The product of its digits is 2351462400, while the sum is 75.

The spelling of 38196552446976 in words is "thirty-eight trillion, one hundred ninety-six billion, five hundred fifty-two million, four hundred forty-six thousand, nine hundred seventy-six".