38158433280 has 528 divisors, whose sum is σ = 146136541824. Its totient is φ = 9129000960.

The previous prime is 38158433263. The next prime is 38158433303. The reversal of 38158433280 is 8233485183.

38158433280 is a `hidden beast` number, since 38 + 1 + 584 + 3 + 32 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42070587 + ... + 42071493.

Almost surely, 2^38158433280 is an apocalyptic number.

38158433280 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 38158433280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73068270912).

38158433280 is an abundant number, since it is smaller than the sum of its proper divisors (107978108544).

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

38158433280 is a wasteful number, since it uses less digits than its factorization.

38158433280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 38158433280 in words is "thirty-eight billion, one hundred fifty-eight million, four hundred thirty-three thousand, two hundred eighty".