36896004240 has 160 divisors (see below), whose sum is σ = 120484609920. Its totient is φ = 9314353152.

The previous prime is 36896004217. The next prime is 36896004251. The reversal of 36896004240 is 4240069863.

It is a happy number.

It is a super-2 number, since 2×36896004240² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36896004192 and 36896004201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10198912 + ... + 10202528.

It is an arithmetic number, because the mean of its divisors is an integer number (753028812).

Almost surely, 2^36896004240 is an apocalyptic number.

36896004240 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 36896004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60242304960).

36896004240 is an abundant number, since it is smaller than the sum of its proper divisors (83588605680).

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

36896004240 is a wasteful number, since it uses less digits than its factorization.

36896004240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5889 (or 5883 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 36896004240 in words is "thirty-six billion, eight hundred ninety-six million, four thousand, two hundred forty".