34660416 has 224 divisors, whose sum is σ = 116750592. Its totient is φ = 8847360.

The previous prime is 34660411. The next prime is 34660441. The reversal of 34660416 is 61406643.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34660411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 845356 + ... + 845396.

It is an arithmetic number, because the mean of its divisors is an integer number (521208).

Almost surely, 2^34660416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34660416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58375296).

34660416 is an abundant number, since it is smaller than the sum of its proper divisors (82090176).

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

34660416 is a wasteful number, since it uses less digits than its factorization.

34660416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 34660416 is about 5887.3097421488. The cubic root of 34660416 is about 326.0452845871.

The spelling of 34660416 in words is "thirty-four million, six hundred sixty thousand, four hundred sixteen".