9745344000 has 480 divisors, whose sum is σ = 40131913536. Its totient is φ = 2226585600.

The previous prime is 9745343977. The next prime is 9745344029. The reversal of 9745344000 is 4435479.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4030792 + ... + 4033208.

Almost surely, 2^9745344000 is an apocalyptic number.

9745344000 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 9745344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20065956768).

9745344000 is an abundant number, since it is smaller than the sum of its proper divisors (30386569536).

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

9745344000 is a wasteful number, since it uses less digits than its factorization.

9745344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2463 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 9745344000 is about 98718.5089028395. The cubic root of 9745344000 is about 2135.9892268951.

Adding to 9745344000 its reverse (4435479), we get a palindrome (9749779479).

The spelling of 9745344000 in words is "nine billion, seven hundred forty-five million, three hundred forty-four thousand".