346996440 has 384 divisors, whose sum is σ = 1378944000. Its totient is φ = 77366016.

The previous prime is 346996427. The next prime is 346996457. The reversal of 346996440 is 44699643.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4180639 + ... + 4180721.

It is an arithmetic number, because the mean of its divisors is an integer number (3591000).

Almost surely, 2^346996440 is an apocalyptic number.

346996440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346996440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689472000).

346996440 is an abundant number, since it is smaller than the sum of its proper divisors (1031947560).

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

346996440 is a wasteful number, since it uses less digits than its factorization.

346996440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 346996440 is about 18627.8404545454. The cubic root of 346996440 is about 702.7081757039.

The spelling of 346996440 in words is "three hundred forty-six million, nine hundred ninety-six thousand, four hundred forty".