9735375000 has 224 divisors, whose sum is σ = 32779267920. Its totient is φ = 2395200000.

The previous prime is 9735374981. The next prime is 9735375017. The reversal of 9735375000 is 5735379.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 9735375000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4874002 + ... + 4875998.

Almost surely, 2^9735375000 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 9735375000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16389633960).

9735375000 is an abundant number, since it is smaller than the sum of its proper divisors (23043892920).

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

9735375000 is a wasteful number, since it uses less digits than its factorization.

9735375000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 99225, while the sum is 39.

The square root of 9735375000 is about 98668.0039323792. The cubic root of 9735375000 is about 2135.2606416507.

The spelling of 9735375000 in words is "nine billion, seven hundred thirty-five million, three hundred seventy-five thousand".