36734916960 has 384 divisors, whose sum is σ = 148028912640. Its totient is φ = 8334323712.

The previous prime is 36734916943. The next prime is 36734916961. The reversal of 36734916960 is 6961943763.

36734916960 is a `hidden beast` number, since 3 + 67 + 3 + 491 + 6 + 96 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 36734916897 and 36734916906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36734916961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4138447 + ... + 4147313.

It is an arithmetic number, because the mean of its divisors is an integer number (385491960).

Almost surely, 2^36734916960 is an apocalyptic number.

36734916960 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 36734916960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74014456320).

36734916960 is an abundant number, since it is smaller than the sum of its proper divisors (111293995680).

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

36734916960 is a wasteful number, since it uses less digits than its factorization.

36734916960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9035 (or 9021 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 36734916960 in words is "thirty-six billion, seven hundred thirty-four million, nine hundred sixteen thousand, nine hundred sixty".