3400587919872 has 1600 divisors, whose sum is σ = 12577145011200. Its totient is φ = 900572774400.

The previous prime is 3400587919843. The next prime is 3400587919877. The reversal of 3400587919872 is 2789197850043.

3400587919872 is a `hidden beast` number, since 3 + 40 + 0 + 587 + 9 + 1 + 9 + 8 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (3400587919877) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 9743804754 + ... + 9743805102.

It is an arithmetic number, because the mean of its divisors is an integer number (7860715632).

Almost surely, 2^{3400587919872} is an apocalyptic number.

3400587919872 is a gapful number since it is divisible by the number (32) 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 3400587919872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6288572505600).

3400587919872 is an abundant number, since it is smaller than the sum of its proper divisors (9176557091328).

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

3400587919872 is a wasteful number, since it uses less digits than its factorization.

3400587919872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 3400587919872 in words is "three trillion, four hundred billion, five hundred eighty-seven million, nine hundred nineteen thousand, eight hundred seventy-two".