38102283360 has 576 divisors, whose sum is σ = 142655385600. Its totient is φ = 9588160512.

The previous prime is 38102283347. The next prime is 38102283361. The reversal of 38102283360 is 6338220183.

38102283360 is a `hidden beast` number, since 3 + 8 + 10 + 2 + 283 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38102283361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52993081 + ... + 52993799.

It is an arithmetic number, because the mean of its divisors is an integer number (247665600).

Almost surely, 2^38102283360 is an apocalyptic number.

38102283360 is a gapful number since it is divisible by the number (30) 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 38102283360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71327692800).

38102283360 is an abundant number, since it is smaller than the sum of its proper divisors (104553102240).

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

38102283360 is a wasteful number, since it uses less digits than its factorization.

38102283360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 38102283360 in words is "thirty-eight billion, one hundred two million, two hundred eighty-three thousand, three hundred sixty".