34528138560 has 168 divisors, whose sum is σ = 118894347936. Its totient is φ = 9197276160.

The previous prime is 34528138559. The next prime is 34528138571. The reversal of 34528138560 is 6583182543.

34528138560 is a `hidden beast` number, since 3 + 4 + 5 + 2 + 81 + 3 + 8 + 560 = 666.

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 23 ways as a sum of consecutive naturals, for example, 2790307 + ... + 2802653.

It is an arithmetic number, because the mean of its divisors is an integer number (707704452).

Almost surely, 2^34528138560 is an apocalyptic number.

34528138560 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 34528138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59447173968).

34528138560 is an abundant number, since it is smaller than the sum of its proper divisors (84366209376).

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

34528138560 is a wasteful number, since it uses less digits than its factorization.

34528138560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13341 (or 13328 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 34528138560 in words is "thirty-four billion, five hundred twenty-eight million, one hundred thirty-eight thousand, five hundred sixty".