38535260400 has 1440 divisors, whose sum is σ = 178651898880. Its totient is φ = 7464960000.

The previous prime is 38535260399. The next prime is 38535260479. The reversal of 38535260400 is 406253583.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 255200325 + ... + 255200475.

Almost surely, 2^38535260400 is an apocalyptic number.

38535260400 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 38535260400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89325949440).

38535260400 is an abundant number, since it is smaller than the sum of its proper divisors (140116638480).

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

38535260400 is a wasteful number, since it uses less digits than its factorization.

38535260400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 38535260400 in words is "thirty-eight billion, five hundred thirty-five million, two hundred sixty thousand, four hundred".