34863760 has 40 divisors (see below), whose sum is σ = 81675576. Its totient is φ = 13839360.

The previous prime is 34863743. The next prime is 34863761. The reversal of 34863760 is 6736843.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 430336 + 34433424 = 656^2 + 5868^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×34863760² = 2430963522675200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (34863761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9370 + ... + 12550.

Almost surely, 2^34863760 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 34863760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40837788).

34863760 is an abundant number, since it is smaller than the sum of its proper divisors (46811816).

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

34863760 is a wasteful number, since it uses less digits than its factorization.

34863760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3331 (or 3325 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 34863760 is about 5904.5541745334. The cubic root of 34863760 is about 326.6816504766.

The spelling of 34863760 in words is "thirty-four million, eight hundred sixty-three thousand, seven hundred sixty".