9003738308400 has 2880 divisors, whose sum is σ = 39887472038400. Its totient is φ = 1915276492800.

The previous prime is 9003738308371. The next prime is 9003738308407. The reversal of 9003738308400 is 48038373009.

It is a happy number.

It is a super-2 number, since 2×9003738308400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9003738308407) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 35034001072 + ... + 35034001328.

It is an arithmetic number, because the mean of its divisors is an integer number (13849816680).

Almost surely, 2^{9003738308400} is an apocalyptic number.

9003738308400 is a gapful number since it is divisible by the number (90) 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 9003738308400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19943736019200).

9003738308400 is an abundant number, since it is smaller than the sum of its proper divisors (30883733730000).

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

9003738308400 is a wasteful number, since it uses less digits than its factorization.

9003738308400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 9003738308400 in words is "nine trillion, three billion, seven hundred thirty-eight million, three hundred eight thousand, four hundred".