34232029440 has 576 divisors, whose sum is σ = 133071267840. Its totient is φ = 7325614080.

The previous prime is 34232029393. The next prime is 34232029441. The reversal of 34232029440 is 4492023243.

It is not an unprimeable number, because it can be changed into a prime (34232029441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49539495 + ... + 49540185.

Almost surely, 2^34232029440 is an apocalyptic number.

34232029440 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 34232029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66535633920).

34232029440 is an abundant number, since it is smaller than the sum of its proper divisors (98839238400).

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

34232029440 is a wasteful number, since it uses less digits than its factorization.

34232029440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 34232029440 in words is "thirty-four billion, two hundred thirty-two million, twenty-nine thousand, four hundred forty".