8334488400 has 240 divisors, whose sum is σ = 31136400000. Its totient is φ = 1904931840.

The previous prime is 8334488347. The next prime is 8334488401. The reversal of 8334488400 is 48844338.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8334488401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 401476 + ... + 421724.

It is an arithmetic number, because the mean of its divisors is an integer number (129735000).

Almost surely, 2^8334488400 is an apocalyptic number.

8334488400 is a gapful number since it is divisible by the number (80) 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 8334488400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15568200000).

8334488400 is an abundant number, since it is smaller than the sum of its proper divisors (22801911600).

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

8334488400 is a wasteful number, since it uses less digits than its factorization.

8334488400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20291 (or 20266 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 8334488400 is about 91293.4192590025. The cubic root of 8334488400 is about 2027.4943321807.

The spelling of 8334488400 in words is "eight billion, three hundred thirty-four million, four hundred eighty-eight thousand, four hundred".