347406904 has 64 divisors (see below), whose sum is σ = 735920640. Its totient is φ = 152549760.

The previous prime is 347406901. The next prime is 347406907. The reversal of 347406904 is 409604743.

It is an interprime number because it is at equal distance from previous prime (347406901) and next prime (347406907).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (347406901) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 743679 + ... + 744145.

It is an arithmetic number, because the mean of its divisors is an integer number (11498760).

Almost surely, 2^347406904 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 347406904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367960320).

347406904 is an abundant number, since it is smaller than the sum of its proper divisors (388513736).

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

347406904 is a wasteful number, since it uses less digits than its factorization.

347406904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 347406904 is about 18638.8546858438. The cubic root of 347406904 is about 702.9851456466.

The spelling of 347406904 in words is "three hundred forty-seven million, four hundred six thousand, nine hundred four".