345436503984 has 640 divisors, whose sum is σ = 1246480220160. Its totient is φ = 89977651200.

The previous prime is 345436503889. The next prime is 345436504013. The reversal of 345436503984 is 489305634543.

345436503984 is a `hidden beast` number, since 3 + 4 + 5 + 43 + 6 + 503 + 98 + 4 = 666.

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 345436503984.

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, 101866929 + ... + 101870319.

It is an arithmetic number, because the mean of its divisors is an integer number (1947625344).

Almost surely, 2^345436503984 is an apocalyptic number.

345436503984 is a gapful number since it is divisible by the number (34) 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 345436503984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623240110080).

345436503984 is an abundant number, since it is smaller than the sum of its proper divisors (901043716176).

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

345436503984 is a wasteful number, since it uses less digits than its factorization.

345436503984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3546 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 345436503984 in words is "three hundred forty-five billion, four hundred thirty-six million, five hundred three thousand, nine hundred eighty-four".