34745616 has 60 divisors (see below), whose sum is σ = 98243340. Its totient is φ = 11462400.

The previous prime is 34745611. The next prime is 34745621. The reversal of 34745616 is 61654743.

It is a happy number.

34745616 is a `hidden beast` number, since 34 + 7 + 4 + 5 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (34745611) and next prime (34745621).

It can be written as a sum of positive squares in 2 ways, for example, as 22467600 + 12278016 = 4740^2 + 3504^2 .

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

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (34745611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13350 + ... + 15738.

It is an arithmetic number, because the mean of its divisors is an integer number (1637389).

Almost surely, 2^34745616 is an apocalyptic number.

34745616 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 34745616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49121670).

34745616 is an abundant number, since it is smaller than the sum of its proper divisors (63497724).

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

34745616 is a wasteful number, since it uses less digits than its factorization.

34745616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504 (or 2495 counting only the distinct ones).

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

The square root of 34745616 is about 5894.5412035204. The cubic root of 34745616 is about 326.3122204842.

The spelling of 34745616 in words is "thirty-four million, seven hundred forty-five thousand, six hundred sixteen".