346009440 has 384 divisors, whose sum is σ = 1332495360. Its totient is φ = 73801728.

The previous prime is 346009429. The next prime is 346009457. The reversal of 346009440 is 44900643.

It is a super-2 number, since 2×346009440² = 239445065138227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 346009398 and 346009407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5164287 + ... + 5164353.

It is an arithmetic number, because the mean of its divisors is an integer number (3470040).

Almost surely, 2^346009440 is an apocalyptic number.

346009440 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 346009440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666247680).

346009440 is an abundant number, since it is smaller than the sum of its proper divisors (986485920).

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

346009440 is a wasteful number, since it uses less digits than its factorization.

346009440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 346009440 is about 18601.3289847796. The cubic root of 346009440 is about 702.0412797050.

The spelling of 346009440 in words is "three hundred forty-six million, nine thousand, four hundred forty".