8354949120 has 480 divisors, whose sum is σ = 34248614400. Its totient is φ = 1908375552.

The previous prime is 8354949107. The next prime is 8354949121. The reversal of 8354949120 is 219494538.

8354949120 is a `hidden beast` number, since 8 + 35 + 494 + 9 + 120 = 666.

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 (45).

It is not an unprimeable number, because it can be changed into a prime (8354949121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5805361 + ... + 5806799.

It is an arithmetic number, because the mean of its divisors is an integer number (71351280).

Almost surely, 2^8354949120 is an apocalyptic number.

8354949120 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 8354949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17124307200).

8354949120 is an abundant number, since it is smaller than the sum of its proper divisors (25893665280).

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

8354949120 is a wasteful number, since it uses less digits than its factorization.

8354949120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 8354949120 is about 91405.4107807629. The cubic root of 8354949120 is about 2029.1521061226.

The spelling of 8354949120 in words is "eight billion, three hundred fifty-four million, nine hundred forty-nine thousand, one hundred twenty".