34222487040 has 960 divisors, whose sum is σ = 145850664960. Its totient is φ = 7524679680.

The previous prime is 34222487003. The next prime is 34222487053. The reversal of 34222487040 is 4078422243.

34222487040 is a `hidden beast` number, since 342 + 2 + 248 + 70 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a junction number, because it is equal to n+sod(n) for n = 34222486986 and 34222487004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126282105 + ... + 126282375.

It is an arithmetic number, because the mean of its divisors is an integer number (151927776).

Almost surely, 2^34222487040 is an apocalyptic number.

34222487040 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 34222487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72925332480).

34222487040 is an abundant number, since it is smaller than the sum of its proper divisors (111628177920).

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

34222487040 is an equidigital number, since it uses as much as digits as its factorization.

34222487040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 34222487040 in words is "thirty-four billion, two hundred twenty-two million, four hundred eighty-seven thousand, forty".