346421376000 has 2376 divisors, whose sum is σ = 1622774332296. Its totient is φ = 70601932800.

The previous prime is 346421375977. The next prime is 346421376023. The reversal of 346421376000 is 673124643.

It is a happy number.

346421376000 is a `hidden beast` number, since 3 + 4 + 6 + 42 + 1 + 3 + 7 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (346421375977) and next prime (346421376023).

It can be written as a sum of positive squares in 4 ways, for example, as 1467196416 + 344954179584 = 38304^2 + 587328^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 18232703991 + ... + 18232704009.

Almost surely, 2^346421376000 is an apocalyptic number.

346421376000 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 346421376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811387166148).

346421376000 is an abundant number, since it is smaller than the sum of its proper divisors (1276352956296).

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

346421376000 is a wasteful number, since it uses less digits than its factorization.

346421376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 346421376000 in words is "three hundred forty-six billion, four hundred twenty-one million, three hundred seventy-six thousand".