9013939200 has 1056 divisors, whose sum is σ = 39962680320. Its totient is φ = 1970749440.

The previous prime is 9013939183. The next prime is 9013939213. The reversal of 9013939200 is 29393109.

It is a super-3 number, since 3×9013939200³ (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 391910389 + ... + 391910411.

Almost surely, 2^9013939200 is an apocalyptic number.

9013939200 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 9013939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19981340160).

9013939200 is an abundant number, since it is smaller than the sum of its proper divisors (30948741120).

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

9013939200 is an equidigital number, since it uses as much as digits as its factorization.

9013939200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 9013939200 is about 94941.7674156111. The cubic root of 9013939200 is about 2081.1571470628.

The spelling of 9013939200 in words is "nine billion, thirteen million, nine hundred thirty-nine thousand, two hundred".