345036644784 has 280 divisors, whose sum is σ = 1080850894032. Its totient is φ = 106022960640.

The previous prime is 345036644767. The next prime is 345036644807. The reversal of 345036644784 is 487446630543.

345036644784 is a `hidden beast` number, since 3 + 4 + 503 + 6 + 64 + 4 + 78 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 345036644784.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 198182154 + ... + 198183894.

Almost surely, 2^345036644784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345036644784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540425447016).

345036644784 is an abundant number, since it is smaller than the sum of its proper divisors (735814249248).

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

345036644784 is a wasteful number, since it uses less digits than its factorization.

345036644784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3087 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 345036644784 in words is "three hundred forty-five billion, thirty-six million, six hundred forty-four thousand, seven hundred eighty-four".