345706514640 has 240 divisors, whose sum is σ = 1193490754560. Its totient is φ = 89643939840.

The previous prime is 345706514633. The next prime is 345706514653. The reversal of 345706514640 is 46415607543.

345706514640 is a `hidden beast` number, since 3 + 4 + 5 + 70 + 6 + 514 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3685441 + ... + 3778079.

It is an arithmetic number, because the mean of its divisors is an integer number (4972878144).

Almost surely, 2^345706514640 is an apocalyptic number.

345706514640 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 345706514640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596745377280).

345706514640 is an abundant number, since it is smaller than the sum of its proper divisors (847784239920).

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

345706514640 is a wasteful number, since it uses less digits than its factorization.

345706514640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92802 (or 92793 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 345706514640 in words is "three hundred forty-five billion, seven hundred six million, five hundred fourteen thousand, six hundred forty".