38425593600 has 648 divisors, whose sum is σ = 143853261552. Its totient is φ = 9776332800.

The previous prime is 38425593593. The next prime is 38425593611. The reversal of 38425593600 is 639552483.

38425593600 is a `hidden beast` number, since 38 + 4 + 2 + 5 + 5 + 9 + 3 + 600 = 666.

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 71 ways as a sum of consecutive naturals, for example, 125164647 + ... + 125164953.

It is an arithmetic number, because the mean of its divisors is an integer number (221995774).

Almost surely, 2^38425593600 is an apocalyptic number.

38425593600 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 38425593600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71926630776).

38425593600 is an abundant number, since it is smaller than the sum of its proper divisors (105427667952).

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

38425593600 is a wasteful number, since it uses less digits than its factorization.

38425593600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

It can be divided in two parts, 38425 and 593600, that added together give a square (632025 = 795²).

The spelling of 38425593600 in words is "thirty-eight billion, four hundred twenty-five million, five hundred ninety-three thousand, six hundred".