38832124950 has 240 divisors, whose sum is σ = 114270163920. Its totient is φ = 9750170880.

The previous prime is 38832124937. The next prime is 38832124951. The reversal of 38832124950 is 5942123883.

38832124950 is a `hidden beast` number, since 3 + 88 + 321 + 249 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 38832124896 and 38832124905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38832124951) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13310892 + ... + 13313808.

It is an arithmetic number, because the mean of its divisors is an integer number (476125683).

Almost surely, 2^38832124950 is an apocalyptic number.

38832124950 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 38832124950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57135081960).

38832124950 is an abundant number, since it is smaller than the sum of its proper divisors (75438038970).

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

38832124950 is a wasteful number, since it uses less digits than its factorization.

38832124950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3133 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 38832124950 in words is "thirty-eight billion, eight hundred thirty-two million, one hundred twenty-four thousand, nine hundred fifty".