345007419702336 has 448 divisors, whose sum is σ = 1032747448953600. Its totient is φ = 112925397860352.

The previous prime is 345007419702307. The next prime is 345007419702373. The reversal of 345007419702336 is 633207914700543.

345007419702336 is a `hidden beast` number, since 3 + 4 + 50 + 0 + 74 + 197 + 0 + 2 + 336 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25195890306 + ... + 25195903998.

Almost surely, 2^{345007419702336} is an apocalyptic number.

345007419702336 is a gapful number since it is divisible by the number (36) 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 345007419702336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516373724476800).

345007419702336 is an abundant number, since it is smaller than the sum of its proper divisors (687740029251264).

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

345007419702336 is a wasteful number, since it uses less digits than its factorization.

345007419702336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14923 (or 14907 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 345007419702336 in words is "three hundred forty-five trillion, seven billion, four hundred nineteen million, seven hundred two thousand, three hundred thirty-six".