34523421623520 has 192 divisors, whose sum is σ = 109126205584704. Its totient is φ = 9174346219520.

The previous prime is 34523421623497. The next prime is 34523421623531. The reversal of 34523421623520 is 2532612432543.

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 31 ways as a sum of consecutive naturals, for example, 170948524 + ... + 171150356.

It is an arithmetic number, because the mean of its divisors is an integer number (568365654087).

Almost surely, 2^{34523421623520} is an apocalyptic number.

34523421623520 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 34523421623520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54563102792352).

34523421623520 is an abundant number, since it is smaller than the sum of its proper divisors (74602783961184).

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

34523421623520 is a wasteful number, since it uses less digits than its factorization.

34523421623520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203085 (or 203077 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 34523421623520 in words is "thirty-four trillion, five hundred twenty-three billion, four hundred twenty-one million, six hundred twenty-three thousand, five hundred twenty".