34458984360 has 768 divisors, whose sum is σ = 130502016000. Its totient is φ = 8172638208.

The previous prime is 34458984341. The next prime is 34458984403. The reversal of 34458984360 is 6348985443.

34458984360 is a `hidden beast` number, since 3 + 4 + 458 + 98 + 43 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 34458984297 and 34458984306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 733169857 + ... + 733169903.

It is an arithmetic number, because the mean of its divisors is an integer number (169924500).

Almost surely, 2^34458984360 is an apocalyptic number.

34458984360 is a gapful number since it is divisible by the number (30) 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 34458984360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65251008000).

34458984360 is an abundant number, since it is smaller than the sum of its proper divisors (96043031640).

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

34458984360 is a wasteful number, since it uses less digits than its factorization.

34458984360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 34458984360 in words is "thirty-four billion, four hundred fifty-eight million, nine hundred eighty-four thousand, three hundred sixty".