34345406160 has 560 divisors, whose sum is σ = 130639294800. Its totient is φ = 8342839296.

The previous prime is 34345406159. The next prime is 34345406197. The reversal of 34345406160 is 6160454343.

34345406160 is a `hidden beast` number, since 3 + 4 + 34 + 5 + 4 + 0 + 616 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2320156224 + 32025249936 = 48168^2 + 178956^2 .

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 111 ways as a sum of consecutive naturals, for example, 67475986 + ... + 67476494.

It is an arithmetic number, because the mean of its divisors is an integer number (233284455).

Almost surely, 2^34345406160 is an apocalyptic number.

34345406160 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 34345406160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65319647400).

34345406160 is an abundant number, since it is smaller than the sum of its proper divisors (96293888640).

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

34345406160 is a wasteful number, since it uses less digits than its factorization.

34345406160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 34345406160 in words is "thirty-four billion, three hundred forty-five million, four hundred six thousand, one hundred sixty".