34434467760 has 960 divisors, whose sum is σ = 143264401920. Its totient is φ = 6755696640.

The previous prime is 34434467741. The next prime is 34434467801. The reversal of 34434467760 is 6776443443.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 191 ways as a sum of consecutive naturals, for example, 251346412 + ... + 251346548.

It is an arithmetic number, because the mean of its divisors is an integer number (149233752).

Almost surely, 2^34434467760 is an apocalyptic number.

34434467760 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 34434467760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71632200960).

34434467760 is an abundant number, since it is smaller than the sum of its proper divisors (108829934160).

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

34434467760 is a wasteful number, since it uses less digits than its factorization.

34434467760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 48.

The spelling of 34434467760 in words is "thirty-four billion, four hundred thirty-four million, four hundred sixty-seven thousand, seven hundred sixty".