38022066587232 has 1728 divisors, whose sum is σ = 146902289264640. Its totient is φ = 9445824460800.

The previous prime is 38022066587227. The next prime is 38022066587233. The reversal of 38022066587232 is 23278566022083.

38022066587232 is a `hidden beast` number, since 3 + 8 + 0 + 2 + 20 + 6 + 6 + 587 + 2 + 32 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38022066587233) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 36878822557 + ... + 36878823587.

It is an arithmetic number, because the mean of its divisors is an integer number (85012898880).

Almost surely, 2^{38022066587232} is an apocalyptic number.

38022066587232 is a gapful number since it is divisible by the number (32) 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 38022066587232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73451144632320).

38022066587232 is an abundant number, since it is smaller than the sum of its proper divisors (108880222677408).

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

38022066587232 is a wasteful number, since it uses less digits than its factorization.

38022066587232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 38022066587232 in words is "thirty-eight trillion, twenty-two billion, sixty-six million, five hundred eighty-seven thousand, two hundred thirty-two".