34014344400324 has 144 divisors (see below), whose sum is σ = 89405375439744. Its totient is φ = 10897862169600.

The previous prime is 34014344400307. The next prime is 34014344400367. The reversal of 34014344400324 is 42300444341043.

34014344400324 is a `hidden beast` number, since 3 + 40 + 143 + 4 + 440 + 0 + 32 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16653207 + ... + 18583809.

It is an arithmetic number, because the mean of its divisors is an integer number (620870662776).

Almost surely, 2^{34014344400324} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34014344400324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44702687719872).

34014344400324 is an abundant number, since it is smaller than the sum of its proper divisors (55391031039420).

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

34014344400324 is a wasteful number, since it uses less digits than its factorization.

34014344400324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930858 (or 1930853 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 34014344400324 its reverse (42300444341043), we get a palindrome (76314788741367).

The spelling of 34014344400324 in words is "thirty-four trillion, fourteen billion, three hundred forty-four million, four hundred thousand, three hundred twenty-four".