34465169960832 has 384 divisors, whose sum is σ = 104523626880000. Its totient is φ = 10029758349312.

The previous prime is 34465169960827. The next prime is 34465169960861. The reversal of 34465169960832 is 23806996156443.

It is a tau number, because it is divible by the number of its divisors (384).

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, 748422544 + ... + 748468592.

It is an arithmetic number, because the mean of its divisors is an integer number (272196945000).

Almost surely, 2^{34465169960832} is an apocalyptic number.

34465169960832 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 34465169960832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52261813440000).

34465169960832 is an abundant number, since it is smaller than the sum of its proper divisors (70058456919168).

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

34465169960832 is a wasteful number, since it uses less digits than its factorization.

34465169960832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46718 (or 46693 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 66.

The spelling of 34465169960832 in words is "thirty-four trillion, four hundred sixty-five billion, one hundred sixty-nine million, nine hundred sixty thousand, eight hundred thirty-two".