1836368100 has 162 divisors, whose sum is σ = 6695908674. Its totient is φ = 419731200.

The previous prime is 1836368099. The next prime is 1836368119. The reversal of 1836368100 is 18636381.

1836368100 is a `hidden beast` number, since 1 + 8 + 3 + 636 + 8 + 10 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 618218496 + 1218149604 = 24864^2 + 34902^2 .

It is a super-2 number, since 2×1836368100² = 6744495597395220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 23280 + ... + 64920.

Almost surely, 2^1836368100 is an apocalyptic number.

1836368100 is a gapful number since it is divisible by the number (10) 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 1836368100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3347954337).

1836368100 is an abundant number, since it is smaller than the sum of its proper divisors (4859540574).

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

1836368100 is a wasteful number, since it uses less digits than its factorization.

1836368100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41675 (or 41658 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1836368100 is about 42852.8657151421. The cubic root of 1836368100 is about 1224.5783582901.

The spelling of 1836368100 in words is "one billion, eight hundred thirty-six million, three hundred sixty-eight thousand, one hundred".