3415604068800 has 4032 divisors, whose sum is σ = 17493130368000. Its totient is φ = 632829542400.

The previous prime is 3415604068759. The next prime is 3415604068837. The reversal of 3415604068800 is 88604065143.

3415604068800 is a `hidden beast` number, since 3 + 4 + 1 + 560 + 4 + 0 + 6 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 575 ways as a sum of consecutive naturals, for example, 179768635191 + ... + 179768635209.

It is an arithmetic number, because the mean of its divisors is an integer number (4338574000).

Almost surely, 2^{3415604068800} is an apocalyptic number.

3415604068800 is a gapful number since it is divisible by the number (30) 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 3415604068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8746565184000).

3415604068800 is an abundant number, since it is smaller than the sum of its proper divisors (14077526299200).

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

3415604068800 is a wasteful number, since it uses less digits than its factorization.

3415604068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 3415604068800 in words is "three trillion, four hundred fifteen billion, six hundred four million, sixty-eight thousand, eight hundred".