3612408412158 has 320 divisors, whose sum is σ = 10477898145792. Its totient is φ = 904587989760.

The previous prime is 3612408412073. The next prime is 3612408412159. The reversal of 3612408412158 is 8512148042163.

3612408412158 is a `hidden beast` number, since 3 + 61 + 24 + 0 + 8 + 412 + 158 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3612408412159) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 24146535 + ... + 24295677.

Almost surely, 2^{3612408412158} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3612408412158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5238949072896).

3612408412158 is an abundant number, since it is smaller than the sum of its proper divisors (6865489733634).

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

3612408412158 is a wasteful number, since it uses less digits than its factorization.

3612408412158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149261 (or 149252 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 3612408412158 in words is "three trillion, six hundred twelve billion, four hundred eight million, four hundred twelve thousand, one hundred fifty-eight".