34311004034100 has 36 divisors (see below), whose sum is σ = 99273171672864. Its totient is φ = 9149601075680.

The previous prime is 34311004034071. The next prime is 34311004034113. The reversal of 34311004034100 is 143040011343.

It is a super-4 number, since 4×34311004034100⁴ (a number of 55 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57185006424 + ... + 57185007023.

It is an arithmetic number, because the mean of its divisors is an integer number (2757588102024).

Almost surely, 2^{34311004034100} is an apocalyptic number.

34311004034100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34311004034100 is an abundant number, since it is smaller than the sum of its proper divisors (64962167638764).

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

34311004034100 is a wasteful number, since it uses less digits than its factorization.

34311004034100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114370013464 (or 114370013457 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 34311004034100 its reverse (143040011343), we get a palindrome (34454044045443).

The spelling of 34311004034100 in words is "thirty-four trillion, three hundred eleven billion, four million, thirty-four thousand, one hundred".