348090624 has 216 divisors, whose sum is σ = 1163215872. Its totient is φ = 98058240.

The previous prime is 348090607. The next prime is 348090637. The reversal of 348090624 is 426090843.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1822369 + ... + 1822559.

Almost surely, 2^348090624 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 348090624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581607936).

348090624 is an abundant number, since it is smaller than the sum of its proper divisors (815125248).

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

348090624 is a wasteful number, since it uses less digits than its factorization.

348090624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 348090624 is about 18657.1869262223. The cubic root of 348090624 is about 703.4460173495.

The spelling of 348090624 in words is "three hundred forty-eight million, ninety thousand, six hundred twenty-four".