34429960440 has 192 divisors, whose sum is σ = 116825436000. Its totient is φ = 9119319552.

The previous prime is 34429960421. The next prime is 34429960457. The reversal of 34429960440 is 4406992443.

34429960440 is a `hidden beast` number, since 34 + 4 + 2 + 9 + 9 + 604 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1436394 + ... + 1460166.

Almost surely, 2^34429960440 is an apocalyptic number.

34429960440 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 34429960440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58412718000).

34429960440 is an abundant number, since it is smaller than the sum of its proper divisors (82395475560).

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

34429960440 is a wasteful number, since it uses less digits than its factorization.

34429960440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23948 (or 23932 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 34429960440 in words is "thirty-four billion, four hundred twenty-nine million, nine hundred sixty thousand, four hundred forty".