34413169680 has 320 divisors, whose sum is σ = 120144691200. Its totient is φ = 9053130240.

The previous prime is 34413169669. The next prime is 34413169711. The reversal of 34413169680 is 8696131443.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90799731 + ... + 90800109.

It is an arithmetic number, because the mean of its divisors is an integer number (375452160).

Almost surely, 2^34413169680 is an apocalyptic number.

34413169680 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 34413169680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60072345600).

34413169680 is an abundant number, since it is smaller than the sum of its proper divisors (85731521520).

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

34413169680 is a wasteful number, since it uses less digits than its factorization.

34413169680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 34413169680 in words is "thirty-four billion, four hundred thirteen million, one hundred sixty-nine thousand, six hundred eighty".