346106400 has 216 divisors, whose sum is σ = 1199142000. Its totient is φ = 86691840.

The previous prime is 346106381. The next prime is 346106419. The reversal of 346106400 is 4601643.

It is an interprime number because it is at equal distance from previous prime (346106381) and next prime (346106419).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 693351 + ... + 693849.

Almost surely, 2^346106400 is an apocalyptic number.

346106400 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 346106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599571000).

346106400 is an abundant number, since it is smaller than the sum of its proper divisors (853035600).

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

346106400 is a wasteful number, since it uses less digits than its factorization.

346106400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 346106400 is about 18603.9350676141. The cubic root of 346106400 is about 702.1068497515.

The spelling of 346106400 in words is "three hundred forty-six million, one hundred six thousand, four hundred".