8540341920 has 576 divisors, whose sum is σ = 34739228160. Its totient is φ = 1959552000.

The previous prime is 8540341903. The next prime is 8540341973. The reversal of 8540341920 is 291430458.

It is a super-2 number, since 2×8540341920² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8125395 + ... + 8126445.

It is an arithmetic number, because the mean of its divisors is an integer number (60311160).

Almost surely, 2^8540341920 is an apocalyptic number.

8540341920 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 8540341920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17369614080).

8540341920 is an abundant number, since it is smaller than the sum of its proper divisors (26198886240).

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

8540341920 is a wasteful number, since it uses less digits than its factorization.

8540341920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8540341920 is about 92413.9703724496. The cubic root of 8540341920 is about 2044.0511193387.

The spelling of 8540341920 in words is "eight billion, five hundred forty million, three hundred forty-one thousand, nine hundred twenty".