346481950410 has 128 divisors (see below), whose sum is σ = 962509363200. Its totient is φ = 88594145280.

The previous prime is 346481950363. The next prime is 346481950499. The reversal of 346481950410 is 14059184643.

346481950410 is a `hidden beast` number, since 3 + 4 + 6 + 48 + 195 + 0 + 410 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 722442 + ... + 1102218.

It is an arithmetic number, because the mean of its divisors is an integer number (7519604400).

Almost surely, 2^346481950410 is an apocalyptic number.

346481950410 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 346481950410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481254681600).

346481950410 is an abundant number, since it is smaller than the sum of its proper divisors (616027412790).

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

346481950410 is a wasteful number, since it uses less digits than its factorization.

346481950410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379933 (or 379927 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 346481950410 in words is "three hundred forty-six billion, four hundred eighty-one million, nine hundred fifty thousand, four hundred ten".