3640552615120 has 20 divisors (see below), whose sum is σ = 8464284830340. Its totient is φ = 1456221046016.

The previous prime is 3640552615111. The next prime is 3640552615129. The reversal of 3640552615120 is 215162550463.

3640552615120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3640552615111) and next prime (3640552615129).

It can be written as a sum of positive squares in 2 ways, for example, as 2126953894464 + 1513598720656 = 1458408^2 + 1230284^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×3640552615120² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3640552615129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22753453765 + ... + 22753453924.

It is an arithmetic number, because the mean of its divisors is an integer number (423214241517).

Almost surely, 2^{3640552615120} is an apocalyptic number.

It is an amenable number.

3640552615120 is an abundant number, since it is smaller than the sum of its proper divisors (4823732215220).

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

3640552615120 is a wasteful number, since it uses less digits than its factorization.

3640552615120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45506907702 (or 45506907696 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 3640552615120 in words is "three trillion, six hundred forty billion, five hundred fifty-two million, six hundred fifteen thousand, one hundred twenty".