34305452532 has 288 divisors, whose sum is σ = 103543977600. Its totient is φ = 9759412224.

The previous prime is 34305452521. The next prime is 34305452543. The reversal of 34305452532 is 23525450343.

34305452532 is a `hidden beast` number, since 34 + 30 + 545 + 2 + 53 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (34305452521) and next prime (34305452543).

It is a super-2 number, since 2×34305452532² (a number of 22 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 23938888 + ... + 23940320.

It is an arithmetic number, because the mean of its divisors is an integer number (359527700).

Almost surely, 2^34305452532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34305452532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51771988800).

34305452532 is an abundant number, since it is smaller than the sum of its proper divisors (69238525068).

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

34305452532 is a wasteful number, since it uses less digits than its factorization.

34305452532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

The spelling of 34305452532 in words is "thirty-four billion, three hundred five million, four hundred fifty-two thousand, five hundred thirty-two".