34875360 has 336 divisors, whose sum is σ = 138819744. Its totient is φ = 8211456.

The previous prime is 34875353. The next prime is 34875367. The reversal of 34875360 is 6357843.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34875353) and next prime (34875367).

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 (34875367) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1516309 + ... + 1516331.

It is an arithmetic number, because the mean of its divisors is an integer number (413154).

Almost surely, 2^34875360 is an apocalyptic number.

34875360 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 34875360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69409872).

34875360 is an abundant number, since it is smaller than the sum of its proper divisors (103944384).

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

34875360 is a wasteful number, since it uses less digits than its factorization.

34875360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 46 counting only the distinct ones).

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

The square root of 34875360 is about 5905.5363854607. The cubic root of 34875360 is about 326.7178780372.

The spelling of 34875360 in words is "thirty-four million, eight hundred seventy-five thousand, three hundred sixty".