34382460 has 96 divisors (see below), whose sum is σ = 111670272. Its totient is φ = 7741440.

The previous prime is 34382443. The next prime is 34382497. The reversal of 34382460 is 6428343.

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

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 31 ways as a sum of consecutive naturals, for example, 29244 + ... + 30396.

It is an arithmetic number, because the mean of its divisors is an integer number (1163232).

Almost surely, 2^34382460 is an apocalyptic number.

34382460 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 34382460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55835136).

34382460 is an abundant number, since it is smaller than the sum of its proper divisors (77287812).

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

34382460 is a wasteful number, since it uses less digits than its factorization.

34382460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 34382460 is about 5863.6558562044. The cubic root of 34382460 is about 325.1713810108.

The spelling of 34382460 in words is "thirty-four million, three hundred eighty-two thousand, four hundred sixty".