34331332440 has 128 divisors (see below), whose sum is σ = 106195795200. Its totient is φ = 8873679360.

The previous prime is 34331332433. The next prime is 34331332459. The reversal of 34331332440 is 4423313343.

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 = 34331332398 and 34331332407.

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, 650566 + ... + 701354.

It is an arithmetic number, because the mean of its divisors is an integer number (829654650).

Almost surely, 2^34331332440 is an apocalyptic number.

34331332440 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 34331332440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53097897600).

34331332440 is an abundant number, since it is smaller than the sum of its proper divisors (71864462760).

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

34331332440 is a wasteful number, since it uses less digits than its factorization.

34331332440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50977 (or 50973 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 34331332440 its reverse (4423313343), we get a palindrome (38754645783).

The spelling of 34331332440 in words is "thirty-four billion, three hundred thirty-one million, three hundred thirty-two thousand, four hundred forty".