34425155520 has 280 divisors, whose sum is σ = 139950834144. Its totient is φ = 7868565504.

The previous prime is 34425155507. The next prime is 34425155549. The reversal of 34425155520 is 2555152443.

34425155520 is a `hidden beast` number, since 34 + 4 + 2 + 51 + 55 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 86574 + ... + 276306.

Almost surely, 2^34425155520 is an apocalyptic number.

34425155520 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 34425155520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69975417072).

34425155520 is an abundant number, since it is smaller than the sum of its proper divisors (105525678624).

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

34425155520 is a wasteful number, since it uses less digits than its factorization.

34425155520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189769 (or 189750 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 34425155520 in words is "thirty-four billion, four hundred twenty-five million, one hundred fifty-five thousand, five hundred twenty".