34014960 has 240 divisors, whose sum is σ = 138580416. Its totient is φ = 7299072.

The previous prime is 34014949. The next prime is 34014961. The reversal of 34014960 is 6941043.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×34014960³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34014961) 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, 85482 + ... + 85878.

Almost surely, 2^34014960 is an apocalyptic number.

34014960 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 34014960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69290208).

34014960 is an abundant number, since it is smaller than the sum of its proper divisors (104565456).

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

34014960 is a wasteful number, since it uses less digits than its factorization.

34014960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 34014960 is about 5832.2345631842. The cubic root of 34014960 is about 324.0086874671.

The spelling of 34014960 in words is "thirty-four million, fourteen thousand, nine hundred sixty".