34525410840 has 448 divisors, whose sum is σ = 124257836160. Its totient is φ = 8599633920.

The previous prime is 34525410797. The next prime is 34525410841. The reversal of 34525410840 is 4801452543.

It is a happy number.

34525410840 is a `hidden beast` number, since 34 + 5 + 2 + 541 + 0 + 84 + 0 = 666.

34525410840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 34525410795 and 34525410804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34525410841) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 127399905 + ... + 127400175.

Almost surely, 2^34525410840 is an apocalyptic number.

34525410840 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 34525410840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62128918080).

34525410840 is an abundant number, since it is smaller than the sum of its proper divisors (89732425320).

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

34525410840 is a wasteful number, since it uses less digits than its factorization.

34525410840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 34525410840 in words is "thirty-four billion, five hundred twenty-five million, four hundred ten thousand, eight hundred forty".