346864227840 has 480 divisors, whose sum is σ = 1335463024896. Its totient is φ = 82625495040.

The previous prime is 346864227839. The next prime is 346864227851. The reversal of 346864227840 is 48722468643.

346864227840 is a `hidden beast` number, since 34 + 6 + 86 + 422 + 78 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9266442 + ... + 9303798.

Almost surely, 2^346864227840 is an apocalyptic number.

346864227840 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 346864227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667731512448).

346864227840 is an abundant number, since it is smaller than the sum of its proper divisors (988598797056).

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

346864227840 is a wasteful number, since it uses less digits than its factorization.

346864227840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37430 (or 37411 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 346864227840 in words is "three hundred forty-six billion, eight hundred sixty-four million, two hundred twenty-seven thousand, eight hundred forty".