34013200320 has 224 divisors, whose sum is σ = 130899651840. Its totient is φ = 8245601280.

The previous prime is 34013200307. The next prime is 34013200343. The reversal of 34013200320 is 2300231043.

34013200320 is a `hidden beast` number, since 340 + 1 + 3 + 2 + 0 + 0 + 320 = 666.

It is a super-5 number, since 5×34013200320⁵ (a number of 54 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34013200293 and 34013200302.

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, 83902 + ... + 273981.

Almost surely, 2^34013200320 is an apocalyptic number.

34013200320 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 34013200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65449825920).

34013200320 is an abundant number, since it is smaller than the sum of its proper divisors (96886451520).

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

34013200320 is a wasteful number, since it uses less digits than its factorization.

34013200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357920 (or 357904 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 34013200320 its reverse (2300231043), we get a palindrome (36313431363).

The spelling of 34013200320 in words is "thirty-four billion, thirteen million, two hundred thousand, three hundred twenty".