3436015842864 has 960 divisors, whose sum is σ = 12012141173760. Its totient is φ = 930631680000.

The previous prime is 3436015842851. The next prime is 3436015842943. The reversal of 3436015842864 is 4682485106343.

3436015842864 is a `hidden beast` number, since 3 + 4 + 3 + 6 + 0 + 158 + 428 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3436015842864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5717164164 + ... + 5717164764.

It is an arithmetic number, because the mean of its divisors is an integer number (12512647056).

Almost surely, 2^{3436015842864} is an apocalyptic number.

3436015842864 is a gapful number since it is divisible by the number (34) 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 3436015842864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6006070586880).

3436015842864 is an abundant number, since it is smaller than the sum of its proper divisors (8576125330896).

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

3436015842864 is a wasteful number, since it uses less digits than its factorization.

3436015842864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 3436015842864 in words is "three trillion, four hundred thirty-six billion, fifteen million, eight hundred forty-two thousand, eight hundred sixty-four".