34398166320 has 240 divisors, whose sum is σ = 136913736960. Its totient is φ = 7862406912.

The previous prime is 34398166301. The next prime is 34398166331. The reversal of 34398166320 is 2366189343.

34398166320 is a `hidden beast` number, since 3 + 4 + 3 + 9 + 8 + 1 + 6 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 9691 + ... + 262469.

It is an arithmetic number, because the mean of its divisors is an integer number (570473904).

Almost surely, 2^34398166320 is an apocalyptic number.

34398166320 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 34398166320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68456868480).

34398166320 is an abundant number, since it is smaller than the sum of its proper divisors (102515570640).

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

34398166320 is a wasteful number, since it uses less digits than its factorization.

34398166320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252814 (or 252796 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 34398166320 in words is "thirty-four billion, three hundred ninety-eight million, one hundred sixty-six thousand, three hundred twenty".