346640400 has 90 divisors (see below), whose sum is σ = 1202950970. Its totient is φ = 92436480.

The previous prime is 346640377. The next prime is 346640407. The reversal of 346640400 is 4046643.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 29942784 + 316697616 = 5472^2 + 17796^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is not an unprimeable number, because it can be changed into a prime (346640407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 44545 + ... + 51744.

Almost surely, 2^346640400 is an apocalyptic number.

346640400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

346640400 is an abundant number, since it is smaller than the sum of its proper divisors (856310570).

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

346640400 is a wasteful number, since it uses less digits than its factorization.

346640400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96313 (or 96299 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 346640400 is about 18618.2813385124. The cubic root of 346640400 is about 702.4677526431.

The spelling of 346640400 in words is "three hundred forty-six million, six hundred forty thousand, four hundred".