34054333040 has 160 divisors (see below), whose sum is σ = 97716829056. Its totient is φ = 10747883520.

The previous prime is 34054333031. The next prime is 34054333043. The reversal of 34054333040 is 4033345043.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34054332994 and 34054333012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34054333043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2709170 + ... + 2721710.

Almost surely, 2^34054333040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34054333040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48858414528).

34054333040 is an abundant number, since it is smaller than the sum of its proper divisors (63662496016).

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

34054333040 is a wasteful number, since it uses less digits than its factorization.

34054333040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12947 (or 12941 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 29.

Adding to 34054333040 its reverse (4033345043), we get a palindrome (38087678083).

The spelling of 34054333040 in words is "thirty-four billion, fifty-four million, three hundred thirty-three thousand, forty".