34401003214320 has 160 divisors (see below), whose sum is σ = 118536429998400. Its totient is φ = 9170187780096.

The previous prime is 34401003214313. The next prime is 34401003214349. The reversal of 34401003214320 is 2341230010443.

34401003214320 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 10 + 0 + 321 + 4 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2846844 + ... + 8769636.

It is an arithmetic number, because the mean of its divisors is an integer number (740852687490).

Almost surely, 2^{34401003214320} is an apocalyptic number.

34401003214320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34401003214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59268214999200).

34401003214320 is an abundant number, since it is smaller than the sum of its proper divisors (84135426784080).

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

34401003214320 is a wasteful number, since it uses less digits than its factorization.

34401003214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5925504 (or 5925492 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34401003214320 its reverse (2341230010443), we get a palindrome (36742233224763).

The spelling of 34401003214320 in words is "thirty-four trillion, four hundred one billion, three million, two hundred fourteen thousand, three hundred twenty".