34314133440 has 224 divisors, whose sum is σ = 111274067520. Its totient is φ = 8955887616.

The previous prime is 34314133439. The next prime is 34314133457. The reversal of 34314133440 is 4433141343.

It is a super-3 number, since 3×34314133440³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34314133398 and 34314133407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39126282 + ... + 39127158.

It is an arithmetic number, because the mean of its divisors is an integer number (496759230).

Almost surely, 2^34314133440 is an apocalyptic number.

34314133440 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 34314133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55637033760).

34314133440 is an abundant number, since it is smaller than the sum of its proper divisors (76959934080).

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

34314133440 is a wasteful number, since it uses less digits than its factorization.

34314133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 34314133440 its reverse (4433141343), we get a palindrome (38747274783).

The spelling of 34314133440 in words is "thirty-four billion, three hundred fourteen million, one hundred thirty-three thousand, four hundred forty".