38004225600 has 672 divisors, whose sum is σ = 146675612160. Its totient is φ = 8515584000.

The previous prime is 38004225583. The next prime is 38004225607. The reversal of 38004225600 is 652240083.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (38004225607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43137160 + ... + 43138040.

It is an arithmetic number, because the mean of its divisors is an integer number (218267280).

Almost surely, 2^38004225600 is an apocalyptic number.

38004225600 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 38004225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73337806080).

38004225600 is an abundant number, since it is smaller than the sum of its proper divisors (108671386560).

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

38004225600 is a wasteful number, since it uses less digits than its factorization.

38004225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 38004225600 its reverse (652240083), we get a palindrome (38656465683).

The spelling of 38004225600 in words is "thirty-eight billion, four million, two hundred twenty-five thousand, six hundred".