9003750000 has 400 divisors, whose sum is σ = 33918272544. Its totient is φ = 2058000000.

The previous prime is 9003749981. The next prime is 9003750013. The reversal of 9003750000 is 573009.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1286249997 + ... + 1286250003.

Almost surely, 2^9003750000 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 9003750000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16959136272).

9003750000 is an abundant number, since it is smaller than the sum of its proper divisors (24914522544).

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

9003750000 is an frugal number, since it uses more digits than its factorization.

9003750000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 9003750000 is about 94888.0919820817. The cubic root of 9003750000 is about 2080.3726834671.

It can be divided in two parts, 900 and 3750000, that multiplied together give a cube (3375000000 = 1500³).

The spelling of 9003750000 in words is "nine billion, three million, seven hundred fifty thousand".