36034511120 has 80 divisors (see below), whose sum is σ = 85001784240. Its totient is φ = 14203994112.

The previous prime is 36034511111. The next prime is 36034511131. The reversal of 36034511120 is 2111543063.

It can be written as a sum of positive squares in 8 ways, for example, as 2403352576 + 33631158544 = 49024^2 + 183388^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 36034511120.

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, 9745112 + ... + 9748808.

It is an arithmetic number, because the mean of its divisors is an integer number (1062522303).

Almost surely, 2^36034511120 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 36034511120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42500892120).

36034511120 is an abundant number, since it is smaller than the sum of its proper divisors (48967273120).

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

36034511120 is a wasteful number, since it uses less digits than its factorization.

36034511120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5452 (or 5446 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The spelling of 36034511120 in words is "thirty-six billion, thirty-four million, five hundred eleven thousand, one hundred twenty".