38933083350 has 384 divisors, whose sum is σ = 130703539200. Its totient is φ = 8427473280.

The previous prime is 38933083309. The next prime is 38933083351. The reversal of 38933083350 is 5338033983.

38933083350 is a `hidden beast` number, since 3 + 8 + 9 + 3 + 308 + 335 + 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 = 38933083296 and 38933083305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38933083351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14542212 + ... + 14544888.

It is an arithmetic number, because the mean of its divisors is an integer number (340373800).

Almost surely, 2^38933083350 is an apocalyptic number.

38933083350 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 38933083350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65351769600).

38933083350 is an abundant number, since it is smaller than the sum of its proper divisors (91770455850).

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

38933083350 is a wasteful number, since it uses less digits than its factorization.

38933083350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 38933083350 in words is "thirty-eight billion, nine hundred thirty-three million, eighty-three thousand, three hundred fifty".