346252838400 has 2160 divisors, whose sum is σ = 1597888680960. Its totient is φ = 72559411200.

The previous prime is 346252838389. The next prime is 346252838401. The reversal of 346252838400 is 4838252643.

346252838400 is a `hidden beast` number, since 3 + 46 + 2 + 528 + 3 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346252838401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 11169446385 + ... + 11169446415.

Almost surely, 2^346252838400 is an apocalyptic number.

346252838400 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 346252838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798944340480).

346252838400 is an abundant number, since it is smaller than the sum of its proper divisors (1251635842560).

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

346252838400 is an frugal number, since it uses more digits than its factorization.

346252838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

It can be divided in two parts, 34625 and 2838400, that added together give a square (2873025 = 1695²).

The spelling of 346252838400 in words is "three hundred forty-six billion, two hundred fifty-two million, eight hundred thirty-eight thousand, four hundred".