34014635460 has 144 divisors (see below), whose sum is σ = 111526571520. Its totient is φ = 8341781760.

The previous prime is 34014635441. The next prime is 34014635461. The reversal of 34014635460 is 6453641043.

34014635460 is a `hidden beast` number, since 3 + 4 + 0 + 14 + 635 + 4 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34014635461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 607321 + ... + 660959.

It is an arithmetic number, because the mean of its divisors is an integer number (774490080).

Almost surely, 2^34014635460 is an apocalyptic number.

34014635460 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 34014635460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55763285760).

34014635460 is an abundant number, since it is smaller than the sum of its proper divisors (77511936060).

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

34014635460 is a wasteful number, since it uses less digits than its factorization.

34014635460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53938 (or 53933 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 34014635460 in words is "thirty-four billion, fourteen million, six hundred thirty-five thousand, four hundred sixty".