3646072432125 has 24 divisors (see below), whose sum is σ = 6572653239672. Its totient is φ = 1944571963200.

The previous prime is 3646072432001. The next prime is 3646072432127. The reversal of 3646072432125 is 5212342706463.

3646072432125 is a `hidden beast` number, since 3 + 6 + 4 + 607 + 2 + 4 + 32 + 1 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 766524764196 + 2879547667929 = 875514^2 + 1696923^2 .

It is not a de Polignac number, because 3646072432125 - 2¹⁸ = 3646072169981 is a prime.

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

It is a partition number, being equal to the number of ways a set of 199 identical objects can be partitioned into subset.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3646072432127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1620475512 + ... + 1620477761.

It is an arithmetic number, because the mean of its divisors is an integer number (273860551653).

Almost surely, 2^{3646072432125} is an apocalyptic number.

It is an amenable number.

3646072432125 is a deficient number, since it is larger than the sum of its proper divisors (2926580807547).

3646072432125 is a wasteful number, since it uses less digits than its factorization.

3646072432125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3240953294 (or 3240953281 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 3646072432125 in words is "three trillion, six hundred forty-six billion, seventy-two million, four hundred thirty-two thousand, one hundred twenty-five".