9350780400 has 240 divisors, whose sum is σ = 35842532320. Its totient is φ = 2301696000.

The previous prime is 9350780389. The next prime is 9350780401. The reversal of 9350780400 is 40870539.

9350780400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 (9350780401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107100 + ... + 173700.

Almost surely, 2^9350780400 is an apocalyptic number.

9350780400 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 9350780400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17921266160).

9350780400 is an abundant number, since it is smaller than the sum of its proper divisors (26491751920).

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

9350780400 is a wasteful number, since it uses less digits than its factorization.

9350780400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66641 (or 66624 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 9350780400 is about 96699.4332972019. The cubic root of 9350780400 is about 2106.7643105323.

The spelling of 9350780400 in words is "nine billion, three hundred fifty million, seven hundred eighty thousand, four hundred".