345443689440 has 768 divisors, whose sum is σ = 1295100576000. Its totient is φ = 85837086720.

The previous prime is 345443689417. The next prime is 345443689457. The reversal of 345443689440 is 44986344543.

345443689440 is a `hidden beast` number, since 3 + 4 + 544 + 3 + 6 + 8 + 94 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 559876012 + ... + 559876628.

It is an arithmetic number, because the mean of its divisors is an integer number (1686328875).

Almost surely, 2^345443689440 is an apocalyptic number.

345443689440 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 345443689440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647550288000).

345443689440 is an abundant number, since it is smaller than the sum of its proper divisors (949656886560).

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

345443689440 is a wasteful number, since it uses less digits than its factorization.

345443689440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 345443689440 in words is "three hundred forty-five billion, four hundred forty-three million, six hundred eighty-nine thousand, four hundred forty".