3642355114060 has 384 divisors, whose sum is σ = 9493289164800. Its totient is φ = 1158475530240.

The previous prime is 3642355114037. The next prime is 3642355114109. The reversal of 3642355114060 is 604115532463.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2652843534 + ... + 2652844906.

It is an arithmetic number, because the mean of its divisors is an integer number (24722107200).

Almost surely, 2^{3642355114060} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3642355114060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4746644582400).

3642355114060 is an abundant number, since it is smaller than the sum of its proper divisors (5850934050740).

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

3642355114060 is a wasteful number, since it uses less digits than its factorization.

3642355114060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2481 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 3642355114060 in words is "three trillion, six hundred forty-two billion, three hundred fifty-five million, one hundred fourteen thousand, sixty".