3545201111400 has 144 divisors (see below), whose sum is σ = 12821810770860. Its totient is φ = 872664883200.

The previous prime is 3545201111393. The next prime is 3545201111453. The reversal of 3545201111400 is 41111025453.

3545201111400 is a `hidden beast` number, since 3 + 5 + 45 + 201 + 1 + 11 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 153408522276 + 3391792589124 = 391674^2 + 1841682^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 75728761 + ... + 75775560.

Almost surely, 2^{3545201111400} is an apocalyptic number.

3545201111400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3545201111400 is an abundant number, since it is smaller than the sum of its proper divisors (9276609659460).

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

3545201111400 is a wasteful number, since it uses less digits than its factorization.

3545201111400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151504356 (or 151504344 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 3545201111400 its reverse (41111025453), we get a palindrome (3586312136853).

The spelling of 3545201111400 in words is "three trillion, five hundred forty-five billion, two hundred one million, one hundred eleven thousand, four hundred".