34821360 has 320 divisors, whose sum is σ = 142848000. Its totient is φ = 7789824.

The previous prime is 34821359. The next prime is 34821419. The reversal of 34821360 is 6312843.

It is a happy number.

It is a super-2 number, since 2×34821360² = 2425054224499200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 740857 + ... + 740903.

It is an arithmetic number, because the mean of its divisors is an integer number (446400).

Almost surely, 2^34821360 is an apocalyptic number.

34821360 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 34821360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71424000).

34821360 is an abundant number, since it is smaller than the sum of its proper divisors (108026640).

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

34821360 is a wasteful number, since it uses less digits than its factorization.

34821360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 34821360 is about 5900.9626333336. The cubic root of 34821360 is about 326.5491640884.

The spelling of 34821360 in words is "thirty-four million, eight hundred twenty-one thousand, three hundred sixty".