3412534325760 has 1920 divisors, whose sum is σ = 14941113707520. Its totient is φ = 701824499712.

The previous prime is 3412534325747. The next prime is 3412534325773. The reversal of 3412534325760 is 675234352143.

It is a happy number.

3412534325760 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 534 + 3 + 2 + 57 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (3412534325747) and next prime (3412534325773).

It is a tau number, because it is divible by the number of its divisors (1920).

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

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 191 ways as a sum of consecutive naturals, for example, 13278343552 + ... + 13278343808.

It is an arithmetic number, because the mean of its divisors is an integer number (7781830056).

Almost surely, 2^{3412534325760} is an apocalyptic number.

3412534325760 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 3412534325760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7470556853760).

3412534325760 is an abundant number, since it is smaller than the sum of its proper divisors (11528579381760).

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

3412534325760 is a wasteful number, since it uses less digits than its factorization.

3412534325760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 3412534325760 in words is "three trillion, four hundred twelve billion, five hundred thirty-four million, three hundred twenty-five thousand, seven hundred sixty".