9743720400 has 180 divisors, whose sum is σ = 34533450432. Its totient is φ = 2542997760.

The previous prime is 9743720369. The next prime is 9743720401. The reversal of 9743720400 is 40273479.

It is a tau number, because it is divible by the number of its divisors (180).

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 (9743720401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 140407 + ... + 197993.

Almost surely, 2^9743720400 is an apocalyptic number.

9743720400 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 9743720400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17266725216).

9743720400 is an abundant number, since it is smaller than the sum of its proper divisors (24789730032).

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

9743720400 is a wasteful number, since it uses less digits than its factorization.

9743720400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57658 (or 57644 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 9743720400 is about 98710.2851783947. The cubic root of 9743720400 is about 2135.8705998284.

Adding to 9743720400 its reverse (40273479), we get a palindrome (9783993879).

The spelling of 9743720400 in words is "nine billion, seven hundred forty-three million, seven hundred twenty thousand, four hundred".