34204981440 has 224 divisors, whose sum is σ = 127143442944. Its totient is φ = 7627530240.

The previous prime is 34204981423. The next prime is 34204981493. The reversal of 34204981440 is 4418940243.

It is a tau number, because it is divible by the number of its divisors (224).

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, 213447 + ... + 337593.

It is an arithmetic number, because the mean of its divisors is an integer number (567604656).

Almost surely, 2^34204981440 is an apocalyptic number.

34204981440 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 34204981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63571721472).

34204981440 is an abundant number, since it is smaller than the sum of its proper divisors (92938461504).

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

34204981440 is a wasteful number, since it uses less digits than its factorization.

34204981440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124215 (or 124205 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 34204981440 in words is "thirty-four billion, two hundred four million, nine hundred eighty-one thousand, four hundred forty".