36401987600 has 120 divisors (see below), whose sum is σ = 95553875232. Its totient is φ = 13216614400.

The previous prime is 36401987597. The next prime is 36401987603. The reversal of 36401987600 is 678910463.

It is an interprime number because it is at equal distance from previous prime (36401987597) and next prime (36401987603).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (36401987603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2999144 + ... + 3011256.

Almost surely, 2^36401987600 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 36401987600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47776937616).

36401987600 is an abundant number, since it is smaller than the sum of its proper divisors (59151887632).

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

36401987600 is a wasteful number, since it uses less digits than its factorization.

36401987600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12825 (or 12814 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The spelling of 36401987600 in words is "thirty-six billion, four hundred one million, nine hundred eighty-seven thousand, six hundred".