3385625312200 has 24 divisors (see below), whose sum is σ = 7871578851330. Its totient is φ = 1354250124800.

The previous prime is 3385625312197. The next prime is 3385625312203. The reversal of 3385625312200 is 22135265833.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3385625312197) and next prime (3385625312203).

It can be written as a sum of positive squares in 3 ways, for example, as 2219307390756 + 1166317921444 = 1489734^2 + 1079962^2 .

It is a super-2 number, since 2×3385625312200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3385625312203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8464063081 + ... + 8464063480.

Almost surely, 2^{3385625312200} is an apocalyptic number.

It is an amenable number.

3385625312200 is an abundant number, since it is smaller than the sum of its proper divisors (4485953539130).

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

3385625312200 is a wasteful number, since it uses less digits than its factorization.

3385625312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16928126577 (or 16928126568 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 3385625312200 in words is "three trillion, three hundred eighty-five billion, six hundred twenty-five million, three hundred twelve thousand, two hundred".