346572640 has 48 divisors (see below), whose sum is σ = 823420080. Its totient is φ = 137843200.

The previous prime is 346572637. The next prime is 346572661. The reversal of 346572640 is 46275643.

It is a super-2 number, since 2×346572640² = 240225189593139200, which contains 22 as substring.

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 self number, because there is not a number n which added to its sum of digits gives 346572640.

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 7 ways as a sum of consecutive naturals, for example, 22590 + ... + 34690.

It is an arithmetic number, because the mean of its divisors is an integer number (17154585).

Almost surely, 2^346572640 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 346572640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411710040).

346572640 is an abundant number, since it is smaller than the sum of its proper divisors (476847440).

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

346572640 is a wasteful number, since it uses less digits than its factorization.

346572640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12295 (or 12287 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 37.

The square root of 346572640 is about 18616.4615327403. The cubic root of 346572640 is about 702.4219777163.

The spelling of 346572640 in words is "three hundred forty-six million, five hundred seventy-two thousand, six hundred forty".