346397787450 has 432 divisors, whose sum is σ = 1102829566176. Its totient is φ = 77271667200.

The previous prime is 346397787413. The next prime is 346397787451. The reversal of 346397787450 is 54787793643.

346397787450 is a `hidden beast` number, since 3 + 4 + 6 + 39 + 77 + 87 + 450 = 666.

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 not an unprimeable number, because it can be changed into a prime (346397787451) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 457592472 + ... + 457593228.

It is an arithmetic number, because the mean of its divisors is an integer number (2552846218).

Almost surely, 2^346397787450 is an apocalyptic number.

346397787450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 346397787450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551414783088).

346397787450 is an abundant number, since it is smaller than the sum of its proper divisors (756431778726).

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

346397787450 is a wasteful number, since it uses less digits than its factorization.

346397787450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1338 counting only the distinct ones).

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

The spelling of 346397787450 in words is "three hundred forty-six billion, three hundred ninety-seven million, seven hundred eighty-seven thousand, four hundred fifty".