3612408345 has 192 divisors, whose sum is σ = 8397043200. Its totient is φ = 1393459200.

The previous prime is 3612408301. The next prime is 3612408347. The reversal of 3612408345 is 5438042163.

3612408345 is a `hidden beast` number, since 3 + 612 + 4 + 0 + 8 + 34 + 5 = 666.

It is not a de Polignac number, because 3612408345 - 2¹³ = 3612400153 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3612408347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2255545 + ... + 2257145.

It is an arithmetic number, because the mean of its divisors is an integer number (43734600).

Almost surely, 2^3612408345 is an apocalyptic number.

3612408345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3612408345 is an abundant number, since it is smaller than the sum of its proper divisors (4784634855).

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

3612408345 is a wasteful number, since it uses less digits than its factorization.

3612408345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3612408345 is about 60103.3139269375. The cubic root of 3612408345 is about 1534.3777033093.

The spelling of 3612408345 in words is "three billion, six hundred twelve million, four hundred eight thousand, three hundred forty-five".