34412353532000 has 288 divisors, whose sum is σ = 88437606382944. Its totient is φ = 13158946944000.

The previous prime is 34412353531993. The next prime is 34412353532021. The reversal of 34412353532000 is 23535321443.

It is a super-2 number, since 2×34412353532000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4953552527 + ... + 4953559473.

It is an arithmetic number, because the mean of its divisors is an integer number (307075022163).

Almost surely, 2^{34412353532000} 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 34412353532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44218803191472).

34412353532000 is an abundant number, since it is smaller than the sum of its proper divisors (54025252850944).

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

34412353532000 is a wasteful number, since it uses less digits than its factorization.

34412353532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9359 (or 9318 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 35.

Adding to 34412353532000 its reverse (23535321443), we get a palindrome (34435888853443).

The spelling of 34412353532000 in words is "thirty-four trillion, four hundred twelve billion, three hundred fifty-three million, five hundred thirty-two thousand".