9348956100 has 243 divisors, whose sum is σ = 32320250599. Its totient is φ = 2258678400.

The previous prime is 9348956083. The next prime is 9348956107. The reversal of 9348956100 is 16598439.

It is a happy number.

The square root of 9348956100 is 96690.

It is a perfect power (a square), and thus also a powerful number.

9348956100 is a `hidden beast` number, since 9 + 3 + 4 + 89 + 561 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1480556484 + 7868399616 = 38478^2 + 88704^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9348956107) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 31907554 + ... + 31907846.

Almost surely, 2^9348956100 is an apocalyptic number.

9348956100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9348956100 is the 96690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9348956100

9348956100 is an abundant number, since it is smaller than the sum of its proper divisors (22971294499).

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

9348956100 is a wasteful number, since it uses less digits than its factorization.

9348956100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The cubic root of 9348956100 is about 2106.6272945138.

The spelling of 9348956100 in words is "nine billion, three hundred forty-eight million, nine hundred fifty-six thousand, one hundred".