3415895128800 has 4032 divisors, whose sum is σ = 16771011586560. Its totient is φ = 658409472000.

The previous prime is 3415895128729. The next prime is 3415895128873. The reversal of 3415895128800 is 88215985143.

3415895128800 is a `hidden beast` number, since 3 + 4 + 1 + 589 + 51 + 2 + 8 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 55998280770 + ... + 55998280830.

It is an arithmetic number, because the mean of its divisors is an integer number (4159477080).

Almost surely, 2^{3415895128800} is an apocalyptic number.

3415895128800 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 3415895128800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8385505793280).

3415895128800 is an abundant number, since it is smaller than the sum of its proper divisors (13355116457760).

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

3415895128800 is a wasteful number, since it uses less digits than its factorization.

3415895128800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 3415895128800 in words is "three trillion, four hundred fifteen billion, eight hundred ninety-five million, one hundred twenty-eight thousand, eight hundred".