36734834304 has 288 divisors, whose sum is σ = 124253028900. Its totient is φ = 10385915904.

The previous prime is 36734834299. The next prime is 36734834309. The reversal of 36734834304 is 40343843763.

It is an interprime number because it is at equal distance from previous prime (36734834299) and next prime (36734834309).

It can be written as a sum of positive squares in 2 ways, for example, as 36615587904 + 119246400 = 191352^2 + 10920^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 36734834304.

It is not an unprimeable number, because it can be changed into a prime (36734834309) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5472102 + ... + 5478810.

Almost surely, 2^36734834304 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 36734834304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62126514450).

36734834304 is an abundant number, since it is smaller than the sum of its proper divisors (87518194596).

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

36734834304 is a wasteful number, since it uses less digits than its factorization.

36734834304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6840 (or 6818 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

The spelling of 36734834304 in words is "thirty-six billion, seven hundred thirty-four million, eight hundred thirty-four thousand, three hundred four".