34420930560 has 768 divisors, whose sum is σ = 130555152000. Its totient is φ = 8695185408.

The previous prime is 34420930543. The next prime is 34420930561. The reversal of 34420930560 is 6503902443.

34420930560 is a `hidden beast` number, since 3 + 4 + 4 + 2 + 0 + 93 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34420930561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 649451494 + ... + 649451546.

Almost surely, 2^34420930560 is an apocalyptic number.

34420930560 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 34420930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65277576000).

34420930560 is an abundant number, since it is smaller than the sum of its proper divisors (96134221440).

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

34420930560 is an frugal number, since it uses more digits than its factorization.

34420930560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 34420930560 in words is "thirty-four billion, four hundred twenty million, nine hundred thirty thousand, five hundred sixty".