35434045008032 has 96 divisors (see below), whose sum is σ = 77551709062464. Its totient is φ = 15799811123200.

The previous prime is 35434045008023. The next prime is 35434045008059. The reversal of 35434045008032 is 23080054043453.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111983228 + ... + 112299204.

It is an arithmetic number, because the mean of its divisors is an integer number (807830302734).

Almost surely, 2^{35434045008032} is an apocalyptic number.

35434045008032 is a gapful number since it is divisible by the number (32) 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 35434045008032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38775854531232).

35434045008032 is an abundant number, since it is smaller than the sum of its proper divisors (42117664054432).

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

35434045008032 is a wasteful number, since it uses less digits than its factorization.

35434045008032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322062 (or 322054 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 41.

The spelling of 35434045008032 in words is "thirty-five trillion, four hundred thirty-four billion, forty-five million, eight thousand, thirty-two".