9397862400 has 240 divisors, whose sum is σ = 31205592000. Its totient is φ = 2495610880.

The previous prime is 9397862347. The next prime is 9397862413. The reversal of 9397862400 is 42687939.

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

It is a super-3 number, since 3×9397862400³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9397862400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39321481 + ... + 39321719.

It is an arithmetic number, because the mean of its divisors is an integer number (130023300).

Almost surely, 2^9397862400 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 9397862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15602796000).

9397862400 is an abundant number, since it is smaller than the sum of its proper divisors (21807729600).

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

9397862400 is an frugal number, since it uses more digits than its factorization.

9397862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 9397862400 is about 96942.5726912588. The cubic root of 9397862400 is about 2110.2943069332.

The spelling of 9397862400 in words is "nine billion, three hundred ninety-seven million, eight hundred sixty-two thousand, four hundred".