34012739460 has 216 divisors, whose sum is σ = 117687354624. Its totient is φ = 7316843520.

The previous prime is 34012739389. The next prime is 34012739471. The reversal of 34012739460 is 6493721043.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 829645 + ... + 869675.

It is an arithmetic number, because the mean of its divisors is an integer number (544848864).

Almost surely, 2^34012739460 is an apocalyptic number.

34012739460 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 34012739460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58843677312).

34012739460 is an abundant number, since it is smaller than the sum of its proper divisors (83674615164).

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

34012739460 is a wasteful number, since it uses less digits than its factorization.

34012739460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40091 (or 40065 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The spelling of 34012739460 in words is "thirty-four billion, twelve million, seven hundred thirty-nine thousand, four hundred sixty".