348009984 has 120 divisors (see below), whose sum is σ = 1147969680. Its totient is φ = 99422208.

The previous prime is 348009973. The next prime is 348009997. The reversal of 348009984 is 489900843.

It is a happy number.

348009984 is a `hidden beast` number, since 3 + 480 + 0 + 99 + 84 = 666.

It is a super-2 number, since 2×348009984² = 242221897927360512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26862 + ... + 37650.

It is an arithmetic number, because the mean of its divisors is an integer number (9566414).

Almost surely, 2^348009984 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 348009984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573984840).

348009984 is an abundant number, since it is smaller than the sum of its proper divisors (799959696).

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

348009984 is a wasteful number, since it uses less digits than its factorization.

348009984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10820 (or 10801 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 348009984 is about 18655.0257035470. The cubic root of 348009984 is about 703.3916921595.

The spelling of 348009984 in words is "three hundred forty-eight million, nine thousand, nine hundred eighty-four".