3342125060640 has 144 divisors (see below), whose sum is σ = 11405690628696. Its totient is φ = 891179520000.

The previous prime is 3342125060623. The next prime is 3342125060647. The reversal of 3342125060640 is 460605212433.

3342125060640 is a `hidden beast` number, since 3 + 3 + 4 + 2 + 1 + 2 + 5 + 0 + 6 + 0 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3053588492304 + 288536568336 = 1747452^2 + 537156^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3342125060640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3342125060595 and 3342125060604.

It is not an unprimeable number, because it can be changed into a prime (3342125060647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27560140 + ... + 27681140.

Almost surely, 2^{3342125060640} is an apocalyptic number.

3342125060640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3342125060640 is an abundant number, since it is smaller than the sum of its proper divisors (8063565568056).

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

3342125060640 is a wasteful number, since it uses less digits than its factorization.

3342125060640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140203 (or 140192 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 3342125060640 in words is "three trillion, three hundred forty-two billion, one hundred twenty-five million, sixty thousand, six hundred forty".