8734938300 has 648 divisors, whose sum is σ = 32923642752. Its totient is φ = 1919232000.

The previous prime is 8734938299. The next prime is 8734938313. The reversal of 8734938300 is 38394378.

It is a happy number.

8734938300 is a `hidden beast` number, since 87 + 3 + 493 + 83 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 123027265 + ... + 123027335.

Almost surely, 2^8734938300 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 8734938300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16461821376).

8734938300 is an abundant number, since it is smaller than the sum of its proper divisors (24188704452).

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

8734938300 is a wasteful number, since it uses less digits than its factorization.

8734938300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 8734938300 is about 93460.8918211248. The cubic root of 8734938300 is about 2059.4596172679.

The spelling of 8734938300 in words is "eight billion, seven hundred thirty-four million, nine hundred thirty-eight thousand, three hundred".