34800827040001 has 24 divisors (see below), whose sum is σ = 40276995413760. Its totient is φ = 29789088292800.

The previous prime is 34800827039873. The next prime is 34800827040037. The reversal of 34800827040001 is 10004072800843.

It is not a de Polignac number, because 34800827040001 - 2⁷ = 34800827039873 is a prime.

It is a super-2 number, since 2×34800827040001² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34800827040041) 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, 36806806 + ... + 37740463.

It is an arithmetic number, because the mean of its divisors is an integer number (1678208142240).

Almost surely, 2^{34800827040001} is an apocalyptic number.

34800827040001 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34800827040001 is a deficient number, since it is larger than the sum of its proper divisors (5476168373759).

34800827040001 is a wasteful number, since it uses less digits than its factorization.

34800827040001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74547385 (or 74547348 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

Adding to 34800827040001 its reverse (10004072800843), we get a palindrome (44804899840844).

The spelling of 34800827040001 in words is "thirty-four trillion, eight hundred billion, eight hundred twenty-seven million, forty thousand, one".