38362141350 has 384 divisors, whose sum is σ = 122302172160. Its totient is φ = 8757504000.

The previous prime is 38362141309. The next prime is 38362141373. The reversal of 38362141350 is 5314126383.

38362141350 is a `hidden beast` number, since 383 + 6 + 214 + 13 + 50 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21181945 + ... + 21183755.

It is an arithmetic number, because the mean of its divisors is an integer number (318495240).

Almost surely, 2^38362141350 is an apocalyptic number.

38362141350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38362141350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61151086080).

38362141350 is an abundant number, since it is smaller than the sum of its proper divisors (83940030810).

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

38362141350 is a wasteful number, since it uses less digits than its factorization.

38362141350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1933 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 38362141350 in words is "thirty-eight billion, three hundred sixty-two million, one hundred forty-one thousand, three hundred fifty".