38205333504 has 560 divisors, whose sum is σ = 126996821952. Its totient is φ = 11370627072.

The previous prime is 38205333493. The next prime is 38205333533. The reversal of 38205333504 is 40533350283.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 370925517 + ... + 370925619.

Almost surely, 2^38205333504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38205333504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63498410976).

38205333504 is an abundant number, since it is smaller than the sum of its proper divisors (88791488448).

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

38205333504 is a wasteful number, since it uses less digits than its factorization.

38205333504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 38205333504 its reverse (40533350283), we get a palindrome (78738683787).

The spelling of 38205333504 in words is "thirty-eight billion, two hundred five million, three hundred thirty-three thousand, five hundred four".