34138056960 has 864 divisors, whose sum is σ = 148477795200. Its totient is φ = 7385333760.

The previous prime is 34138056899. The next prime is 34138056973. The reversal of 34138056960 is 6965083143.

34138056960 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 80 + 569 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 32174830 + ... + 32175890.

It is an arithmetic number, because the mean of its divisors is an integer number (171849300).

Almost surely, 2^34138056960 is an apocalyptic number.

34138056960 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 34138056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74238897600).

34138056960 is an abundant number, since it is smaller than the sum of its proper divisors (114339738240).

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

34138056960 is a wasteful number, since it uses less digits than its factorization.

34138056960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 34138056960 in words is "thirty-four billion, one hundred thirty-eight million, fifty-six thousand, nine hundred sixty".