34285440 has 128 divisors (see below), whose sum is σ = 124945920. Its totient is φ = 7833600.

The previous prime is 34285439. The next prime is 34285463. The reversal of 34285440 is 4458243.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34285398 and 34285407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12165 + ... + 14715.

It is an arithmetic number, because the mean of its divisors is an integer number (976140).

Almost surely, 2^34285440 is an apocalyptic number.

34285440 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 34285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62472960).

34285440 is an abundant number, since it is smaller than the sum of its proper divisors (90660480).

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

34285440 is a wasteful number, since it uses less digits than its factorization.

34285440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 34285440 is about 5855.3770160426. The cubic root of 34285440 is about 324.8652380140.

The spelling of 34285440 in words is "thirty-four million, two hundred eighty-five thousand, four hundred forty".