34333460040 has 128 divisors (see below), whose sum is σ = 113786726400. Its totient is φ = 8217880320.

The previous prime is 34333460033. The next prime is 34333460053. The reversal of 34333460040 is 4006433343.

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

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, 60342 + ... + 268901.

It is an arithmetic number, because the mean of its divisors is an integer number (888958800).

Almost surely, 2^34333460040 is an apocalyptic number.

34333460040 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 34333460040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56893363200).

34333460040 is an abundant number, since it is smaller than the sum of its proper divisors (79453266360).

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

34333460040 is a wasteful number, since it uses less digits than its factorization.

34333460040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329347 (or 329343 counting only the distinct ones).

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

Adding to 34333460040 its reverse (4006433343), we get a palindrome (38339893383).

The spelling of 34333460040 in words is "thirty-four billion, three hundred thirty-three million, four hundred sixty thousand, forty".