3427945598592 has 160 divisors (see below), whose sum is σ = 10418565453120. Its totient is φ = 1118336702976.

The previous prime is 3427945598549. The next prime is 3427945598593. The reversal of 3427945598592 is 2958955497243.

3427945598592 is a `hidden beast` number, since 3 + 4 + 2 + 7 + 9 + 455 + 9 + 85 + 92 = 666.

It is a super-2 number, since 2×3427945598592² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 3427945598592.

It is not an unprimeable number, because it can be changed into a prime (3427945598593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3030018 + ... + 4004609.

It is an arithmetic number, because the mean of its divisors is an integer number (65116034082).

Almost surely, 2^{3427945598592} is an apocalyptic number.

3427945598592 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3427945598592 is an abundant number, since it is smaller than the sum of its proper divisors (6990619854528).

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

3427945598592 is an equidigital number, since it uses as much as digits as its factorization.

3427945598592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7034700 (or 7034679 counting only the distinct ones).

The product of its digits is 979776000, while the sum is 72.

The spelling of 3427945598592 in words is "three trillion, four hundred twenty-seven billion, nine hundred forty-five million, five hundred ninety-eight thousand, five hundred ninety-two".