345734789760 has 384 divisors, whose sum is σ = 1223307081360. Its totient is φ = 89942261760.

The previous prime is 345734789749. The next prime is 345734789773. The reversal of 345734789760 is 67987437543.

345734789760 is a `hidden beast` number, since 3 + 4 + 5 + 73 + 478 + 97 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 188557429824 + 157177359936 = 434232^2 + 396456^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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, 55252552 + ... + 55258808.

Almost surely, 2^345734789760 is an apocalyptic number.

345734789760 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 345734789760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611653540680).

345734789760 is an abundant number, since it is smaller than the sum of its proper divisors (877572291600).

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

345734789760 is a wasteful number, since it uses less digits than its factorization.

345734789760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6516 (or 6501 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 345734789760 in words is "three hundred forty-five billion, seven hundred thirty-four million, seven hundred eighty-nine thousand, seven hundred sixty".