36404121600 has 1872 divisors, whose sum is σ = 177460308480. Its totient is φ = 7166361600.

The previous prime is 36404121563. The next prime is 36404121601. The reversal of 36404121600 is 612140463.

36404121600 is a `hidden beast` number, since 3 + 6 + 40 + 4 + 12 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36404121601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1916006391 + ... + 1916006409.

Almost surely, 2^36404121600 is an apocalyptic number.

36404121600 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 36404121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88730154240).

36404121600 is an abundant number, since it is smaller than the sum of its proper divisors (141056186880).

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

36404121600 is a wasteful number, since it uses less digits than its factorization.

36404121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

It can be divided in two parts, 364041 and 21600, that added together give a square (385641 = 621²).

The spelling of 36404121600 in words is "thirty-six billion, four hundred four million, one hundred twenty-one thousand, six hundred".