38884365000 has 360 divisors, whose sum is σ = 142527103290. Its totient is φ = 9569664000.

The previous prime is 38884364993. The next prime is 38884365029. The reversal of 38884365000 is 56348883.

38884365000 is a `hidden beast` number, since 38 + 8 + 84 + 36 + 500 + 0 = 666.

It can be written as a sum of positive squares in 15 ways, for example, as 37891736964 + 992628036 = 194658^2 + 31506^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 7602444 + ... + 7607556.

Almost surely, 2^38884365000 is an apocalyptic number.

38884365000 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 38884365000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71263551645).

38884365000 is an abundant number, since it is smaller than the sum of its proper divisors (103642738290).

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

38884365000 is a wasteful number, since it uses less digits than its factorization.

38884365000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5171 (or 5136 counting only the distinct ones).

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

The spelling of 38884365000 in words is "thirty-eight billion, eight hundred eighty-four million, three hundred sixty-five thousand".