34014885660 has 540 divisors, whose sum is σ = 131114563272. Its totient is φ = 7359424128.

The previous prime is 34014885649. The next prime is 34014885661. The reversal of 34014885660 is 6658841043.

34014885660 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 4 + 88 + 566 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34014885661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 28655587 + ... + 28656773.

Almost surely, 2^34014885660 is an apocalyptic number.

34014885660 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 34014885660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65557281636).

34014885660 is an abundant number, since it is smaller than the sum of its proper divisors (97099677612).

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

34014885660 is a wasteful number, since it uses less digits than its factorization.

34014885660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 34014885660 in words is "thirty-four billion, fourteen million, eight hundred eighty-five thousand, six hundred sixty".