34816169240 has 128 divisors (see below), whose sum is σ = 85442688000. Its totient is φ = 12717669888.

The previous prime is 34816169197. The next prime is 34816169243. The reversal of 34816169240 is 4296161843.

It is a junction number, because it is equal to n+sod(n) for n = 34816169191 and 34816169200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34816169243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21664517 + ... + 21666123.

It is an arithmetic number, because the mean of its divisors is an integer number (667521000).

Almost surely, 2^34816169240 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 34816169240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42721344000).

34816169240 is an abundant number, since it is smaller than the sum of its proper divisors (50626518760).

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

34816169240 is a wasteful number, since it uses less digits than its factorization.

34816169240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2649 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The spelling of 34816169240 in words is "thirty-four billion, eight hundred sixteen million, one hundred sixty-nine thousand, two hundred forty".