38003097600 has 810 divisors, whose sum is σ = 149825075946. Its totient is φ = 9201254400.

The previous prime is 38003097571. The next prime is 38003097607. The reversal of 38003097600 is 679030083.

It can be written as a sum of positive squares in 9 ways, for example, as 33691336704 + 4311760896 = 183552^2 + 65664^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38003097607) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 623001570 + ... + 623001630.

Almost surely, 2^38003097600 is an apocalyptic number.

38003097600 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 38003097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74912537973).

38003097600 is an abundant number, since it is smaller than the sum of its proper divisors (111821978346).

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

38003097600 is a wasteful number, since it uses less digits than its factorization.

38003097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 38003097600 in words is "thirty-eight billion, three million, ninety-seven thousand, six hundred".