3606816101440 has 56 divisors (see below), whose sum is σ = 8692209590400. Its totient is φ = 1425344183808.

The previous prime is 3606816101437. The next prime is 3606816101443. The reversal of 3606816101440 is 441016186063.

It is an interprime number because it is at equal distance from previous prime (3606816101437) and next prime (3606816101443).

It is a super-4 number, since 4×3606816101440⁴ (a number of 51 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3606816101393 and 3606816101402.

It is not an unprimeable number, because it can be changed into a prime (3606816101443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67872840 + ... + 67925959.

It is an arithmetic number, because the mean of its divisors is an integer number (155218028400).

Almost surely, 2^{3606816101440} is an apocalyptic number.

It is an amenable number.

3606816101440 is an abundant number, since it is smaller than the sum of its proper divisors (5085393488960).

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

3606816101440 is a wasteful number, since it uses less digits than its factorization.

3606816101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135798899 (or 135798889 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 3606816101440 in words is "three trillion, six hundred six billion, eight hundred sixteen million, one hundred one thousand, four hundred forty".