34241987520 has 896 divisors, whose sum is σ = 140100710400. Its totient is φ = 7798063104.

The previous prime is 34241987497. The next prime is 34241987573. The reversal of 34241987520 is 2578914243.

34241987520 is a `hidden beast` number, since 3 + 4 + 2 + 41 + 9 + 87 + 520 = 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 127 ways as a sum of consecutive naturals, for example, 150845647 + ... + 150845873.

It is an arithmetic number, because the mean of its divisors is an integer number (156362400).

Almost surely, 2^34241987520 is an apocalyptic number.

34241987520 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 34241987520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70050355200).

34241987520 is an abundant number, since it is smaller than the sum of its proper divisors (105858722880).

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

34241987520 is a wasteful number, since it uses less digits than its factorization.

34241987520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 34241987520 in words is "thirty-four billion, two hundred forty-one million, nine hundred eighty-seven thousand, five hundred twenty".