34014233534460 has 384 divisors, whose sum is σ = 99855721728000. Its totient is φ = 8643701637120.

The previous prime is 34014233534459. The next prime is 34014233534483. The reversal of 34014233534460 is 6443533241043.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24140690236 + ... + 24140691644.

It is an arithmetic number, because the mean of its divisors is an integer number (260040942000).

Almost surely, 2^{34014233534460} is an apocalyptic number.

34014233534460 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 34014233534460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49927860864000).

34014233534460 is an abundant number, since it is smaller than the sum of its proper divisors (65841488193540).

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

34014233534460 is a wasteful number, since it uses less digits than its factorization.

34014233534460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 42.

The spelling of 34014233534460 in words is "thirty-four trillion, fourteen billion, two hundred thirty-three million, five hundred thirty-four thousand, four hundred sixty".