3670328235168 has 1152 divisors, whose sum is σ = 13477159987200. Its totient is φ = 949238341632.

The previous prime is 3670328235131. The next prime is 3670328235209. The reversal of 3670328235168 is 8615328230763.

It is a happy number.

3670328235168 is a `hidden beast` number, since 3 + 6 + 7 + 0 + 3 + 282 + 351 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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, 15752481580 + ... + 15752481812.

It is an arithmetic number, because the mean of its divisors is an integer number (11698923600).

Almost surely, 2^{3670328235168} is an apocalyptic number.

3670328235168 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3670328235168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6738579993600).

3670328235168 is an abundant number, since it is smaller than the sum of its proper divisors (9806831752032).

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

3670328235168 is a wasteful number, since it uses less digits than its factorization.

3670328235168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 3670328235168 in words is "three trillion, six hundred seventy billion, three hundred twenty-eight million, two hundred thirty-five thousand, one hundred sixty-eight".