38524384080 has 1680 divisors, whose sum is σ = 181050693264. Its totient is φ = 7524679680.

The previous prime is 38524384079. The next prime is 38524384121. The reversal of 38524384080 is 8048342583.

38524384080 is a `hidden beast` number, since 3 + 8 + 524 + 3 + 8 + 40 + 80 = 666.

38524384080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6421778496 + 32102605584 = 80136^2 + 179172^2 .

It is a tau number, because it is divible by the number of its divisors (1680).

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 335 ways as a sum of consecutive naturals, for example, 631547250 + ... + 631547310.

Almost surely, 2^38524384080 is an apocalyptic number.

38524384080 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 38524384080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90525346632).

38524384080 is an abundant number, since it is smaller than the sum of its proper divisors (142526309184).

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

38524384080 is a wasteful number, since it uses less digits than its factorization.

38524384080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 38524384080 in words is "thirty-eight billion, five hundred twenty-four million, three hundred eighty-four thousand, eighty".