8434370880 has 672 divisors, whose sum is σ = 33195402240. Its totient is φ = 1962455040.

The previous prime is 8434370843. The next prime is 8434370881. The reversal of 8434370880 is 880734348.

It is a happy number.

It is a super-2 number, since 2×8434370880² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8434370881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 196148139 + ... + 196148181.

It is an arithmetic number, because the mean of its divisors is an integer number (49397920).

Almost surely, 2^8434370880 is an apocalyptic number.

8434370880 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 8434370880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16597701120).

8434370880 is an abundant number, since it is smaller than the sum of its proper divisors (24761031360).

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

8434370880 is a wasteful number, since it uses less digits than its factorization.

8434370880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 8434370880 is about 91838.8310030131. The cubic root of 8434370880 is about 2035.5615150044.

The spelling of 8434370880 in words is "eight billion, four hundred thirty-four million, three hundred seventy thousand, eight hundred eighty".