34055556528 has 160 divisors (see below), whose sum is σ = 106886730240. Its totient is φ = 9126604800.

The previous prime is 34055556499. The next prime is 34055556551. The reversal of 34055556528 is 82565555043.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 618376 + ... + 671192.

It is an arithmetic number, because the mean of its divisors is an integer number (668042064).

Almost surely, 2^34055556528 is an apocalyptic number.

34055556528 is a gapful number since it is divisible by the number (38) 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 34055556528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53443365120).

34055556528 is an abundant number, since it is smaller than the sum of its proper divisors (72831173712).

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

34055556528 is a wasteful number, since it uses less digits than its factorization.

34055556528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52955 (or 52949 counting only the distinct ones).

The product of its (nonzero) digits is 3600000, while the sum is 48.

The spelling of 34055556528 in words is "thirty-four billion, fifty-five million, five hundred fifty-six thousand, five hundred twenty-eight".