3415887615168 has 168 divisors, whose sum is σ = 11211995628288. Its totient is φ = 974027017728.

The previous prime is 3415887615143. The next prime is 3415887615191. The reversal of 3415887615168 is 8615167885143.

It is a happy number.

3415887615168 is a `hidden beast` number, since 3 + 4 + 1 + 5 + 8 + 8 + 7 + 615 + 1 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 23 ways as a sum of consecutive naturals, for example, 1185955 + ... + 2870237.

It is an arithmetic number, because the mean of its divisors is an integer number (66738069216).

Almost surely, 2^{3415887615168} 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 3415887615168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5605997814144).

3415887615168 is an abundant number, since it is smaller than the sum of its proper divisors (7796108013120).

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

3415887615168 is a wasteful number, since it uses less digits than its factorization.

3415887615168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684811 (or 1684798 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 63.

The spelling of 3415887615168 in words is "three trillion, four hundred fifteen billion, eight hundred eighty-seven million, six hundred fifteen thousand, one hundred sixty-eight".