3414134001000 has 128 divisors (see below), whose sum is σ = 10911905746560. Its totient is φ = 888229952000.

The previous prime is 3414134000987. The next prime is 3414134001007. The reversal of 3414134001000 is 1004314143.

It is not an unprimeable number, because it can be changed into a prime (3414134001007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13755594 + ... + 14001593.

It is an arithmetic number, because the mean of its divisors is an integer number (85249263645).

Almost surely, 2^{3414134001000} is an apocalyptic number.

3414134001000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3414134001000 is an abundant number, since it is smaller than the sum of its proper divisors (7497771745560).

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

3414134001000 is a wasteful number, since it uses less digits than its factorization.

3414134001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27757252 (or 27757238 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 3414134001000 its reverse (1004314143), we get a palindrome (3415138315143).

The spelling of 3414134001000 in words is "three trillion, four hundred fourteen billion, one hundred thirty-four million, one thousand".