1836542736 has 360 divisors, whose sum is σ = 6387388800. Its totient is φ = 492283008.

The previous prime is 1836542723. The next prime is 1836542753. The reversal of 1836542736 is 6372456381.

1836542736 is a `hidden beast` number, since 1 + 8 + 36 + 542 + 73 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1836542691 and 1836542700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17830461 + ... + 17830563.

Almost surely, 2^1836542736 is an apocalyptic number.

1836542736 is a gapful number since it is divisible by the number (16) 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 1836542736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193694400).

1836542736 is an abundant number, since it is smaller than the sum of its proper divisors (4550846064).

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

1836542736 is a wasteful number, since it uses less digits than its factorization.

1836542736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 134 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 1836542736 is about 42854.9032900554. The cubic root of 1836542736 is about 1224.6171756142.

The spelling of 1836542736 in words is "one billion, eight hundred thirty-six million, five hundred forty-two thousand, seven hundred thirty-six".