36248203434240 has 864 divisors, whose sum is σ = 149773494648960. Its totient is φ = 8277454209024.

The previous prime is 36248203434181. The next prime is 36248203434271. The reversal of 36248203434240 is 4243430284263.

It is a happy number.

36248203434240 is a `hidden beast` number, since 3 + 6 + 2 + 4 + 8 + 203 + 434 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1891562899 + ... + 1891582061.

It is an arithmetic number, because the mean of its divisors is an integer number (173348952140).

Almost surely, 2^{36248203434240} is an apocalyptic number.

36248203434240 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 36248203434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74886747324480).

36248203434240 is an abundant number, since it is smaller than the sum of its proper divisors (113525291214720).

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

36248203434240 is a wasteful number, since it uses less digits than its factorization.

36248203434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20324 (or 20297 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 45.

The spelling of 36248203434240 in words is "thirty-six trillion, two hundred forty-eight billion, two hundred three million, four hundred thirty-four thousand, two hundred forty".