34475616 has 144 divisors (see below), whose sum is σ = 114660000. Its totient is φ = 9821952.

The previous prime is 34475611. The next prime is 34475621. The reversal of 34475616 is 61657443.

It is a happy number.

34475616 is a `hidden beast` number, since 34 + 4 + 7 + 5 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (34475611) and next prime (34475621).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34475611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98610 + ... + 98958.

It is an arithmetic number, because the mean of its divisors is an integer number (796250).

Almost surely, 2^34475616 is an apocalyptic number.

34475616 is a gapful number since it is divisible by the number (36) 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 34475616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57330000).

34475616 is an abundant number, since it is smaller than the sum of its proper divisors (80184384).

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

34475616 is a wasteful number, since it uses less digits than its factorization.

34475616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 361 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 34475616 is about 5871.5939914132. The cubic root of 34475616 is about 325.4647898091.

The spelling of 34475616 in words is "thirty-four million, four hundred seventy-five thousand, six hundred sixteen".