346890004650 has 720 divisors, whose sum is σ = 1169951904000. Its totient is φ = 75899980800.

The previous prime is 346890004633. The next prime is 346890004651. The reversal of 346890004650 is 56400098643.

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

It is a junction number, because it is equal to n+sod(n) for n = 346890004596 and 346890004605.

It is not an unprimeable number, because it can be changed into a prime (346890004651) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 695170101 + ... + 695170599.

It is an arithmetic number, because the mean of its divisors is an integer number (1624933200).

Almost surely, 2^346890004650 is an apocalyptic number.

346890004650 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 346890004650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584975952000).

346890004650 is an abundant number, since it is smaller than the sum of its proper divisors (823061899350).

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

346890004650 is a wasteful number, since it uses less digits than its factorization.

346890004650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 346890004650 in words is "three hundred forty-six billion, eight hundred ninety million, four thousand, six hundred fifty".