34289561088 has 160 divisors (see below), whose sum is σ = 102303928320. Its totient is φ = 11339274240.

The previous prime is 34289561057. The next prime is 34289561093. The reversal of 34289561088 is 88016598243.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1745883 + ... + 1765413.

It is an arithmetic number, because the mean of its divisors is an integer number (639399552).

Almost surely, 2^34289561088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34289561088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51151964160).

34289561088 is an abundant number, since it is smaller than the sum of its proper divisors (68014367232).

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

34289561088 is a wasteful number, since it uses less digits than its factorization.

34289561088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19685 (or 19663 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 34289561088 in words is "thirty-four billion, two hundred eighty-nine million, five hundred sixty-one thousand, eighty-eight".