38132536416 has 96 divisors (see below), whose sum is σ = 108055287648. Its totient is φ = 11705057280.

The previous prime is 38132536411. The next prime is 38132536417. The reversal of 38132536416 is 61463523183.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×38132536416² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38132536411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489120 + ... + 561696.

It is an arithmetic number, because the mean of its divisors is an integer number (1125575913).

Almost surely, 2^38132536416 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 38132536416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54027643824).

38132536416 is an abundant number, since it is smaller than the sum of its proper divisors (69922751232).

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

38132536416 is a wasteful number, since it uses less digits than its factorization.

38132536416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73024 (or 73016 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The spelling of 38132536416 in words is "thirty-eight billion, one hundred thirty-two million, five hundred thirty-six thousand, four hundred sixteen".