34200332211400 has 48 divisors (see below), whose sum is σ = 79741029701700. Its totient is φ = 13641378938880.

The previous prime is 34200332211379. The next prime is 34200332211403. The reversal of 34200332211400 is 411223300243.

It can be written as a sum of positive squares in 6 ways, for example, as 10529908180324 + 23670424031076 = 3244982^2 + 4865226^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (34200332211403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 242141385 + ... + 242282584.

Almost surely, 2^{34200332211400} is an apocalyptic number.

It is an amenable number.

34200332211400 is an abundant number, since it is smaller than the sum of its proper divisors (45540697490300).

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

34200332211400 is a wasteful number, since it uses less digits than its factorization.

34200332211400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484424338 (or 484424329 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 34200332211400 its reverse (411223300243), we get a palindrome (34611555511643).

The spelling of 34200332211400 in words is "thirty-four trillion, two hundred billion, three hundred thirty-two million, two hundred eleven thousand, four hundred".