34190095680 has 896 divisors, whose sum is σ = 140749324800. Its totient is φ = 7739670528.

The previous prime is 34190095669. The next prime is 34190095691. The reversal of 34190095680 is 8659009143.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34190095669) and next prime (34190095691).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78960744 + ... + 78961176.

It is an arithmetic number, because the mean of its divisors is an integer number (157086300).

Almost surely, 2^34190095680 is an apocalyptic number.

34190095680 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 34190095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70374662400).

34190095680 is an abundant number, since it is smaller than the sum of its proper divisors (106559229120).

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

34190095680 is a wasteful number, since it uses less digits than its factorization.

34190095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

It can be divided in two parts, 341900 and 95680, that added together give a triangular number (437580 = T₉₃₅).

The spelling of 34190095680 in words is "thirty-four billion, one hundred ninety million, ninety-five thousand, six hundred eighty".