34135985520 has 1200 divisors, whose sum is σ = 151169020992. Its totient is φ = 6987202560.

The previous prime is 34135985503. The next prime is 34135985563. The reversal of 34135985520 is 2558953143.

34135985520 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 5 + 98 + 552 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 467616204 + ... + 467616276.

Almost surely, 2^34135985520 is an apocalyptic number.

34135985520 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 34135985520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75584510496).

34135985520 is an abundant number, since it is smaller than the sum of its proper divisors (117033035472).

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

34135985520 is a wasteful number, since it uses less digits than its factorization.

34135985520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 34135985520 in words is "thirty-four billion, one hundred thirty-five million, nine hundred eighty-five thousand, five hundred twenty".