344025378432 has 48 divisors (see below), whose sum is σ = 989968865730. Its totient is φ = 114675125760.

The previous prime is 344025378383. The next prime is 344025378461. The reversal of 344025378432 is 234873520443.

344025378432 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 2 + 537 + 84 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 255445333056 + 88580045376 = 505416^2 + 297624^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×344025378432² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 149315419 + ... + 149317722.

Almost surely, 2^344025378432 is an apocalyptic number.

344025378432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

344025378432 is an abundant number, since it is smaller than the sum of its proper divisors (645943487298).

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

344025378432 is a wasteful number, since it uses less digits than its factorization.

344025378432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298633161 (or 298633146 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

Adding to 344025378432 its reverse (234873520443), we get a palindrome (578898898875).

The spelling of 344025378432 in words is "three hundred forty-four billion, twenty-five million, three hundred seventy-eight thousand, four hundred thirty-two".