3011200106400 has 108 divisors (see below), whose sum is σ = 10618244400582. Its totient is φ = 802986693120.

The previous prime is 3011200106371. The next prime is 3011200106407. The reversal of 3011200106400 is 46010021103.

It is a happy number.

3011200106400 is a `hidden beast` number, since 3 + 0 + 1 + 1 + 20 + 0 + 1 + 0 + 640 + 0 = 666.

3011200106400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2890421615376 + 120778491024 = 1700124^2 + 347532^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3011200106407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 209103919 + ... + 209118318.

Almost surely, 2^{3011200106400} is an apocalyptic number.

3011200106400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3011200106400 is an abundant number, since it is smaller than the sum of its proper divisors (7607044294182).

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

3011200106400 is a wasteful number, since it uses less digits than its factorization.

3011200106400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418222263 (or 418222247 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 3011200106400 its reverse (46010021103), we get a palindrome (3057210127503).

The spelling of 3011200106400 in words is "three trillion, eleven billion, two hundred million, one hundred six thousand, four hundred".