346661887104 has 1536 divisors, whose sum is σ = 1279935820800. Its totient is φ = 92302737408.

The previous prime is 346661887081. The next prime is 346661887111. The reversal of 346661887104 is 401788166643.

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 191 ways as a sum of consecutive naturals, for example, 7375784809 + ... + 7375784855.

It is an arithmetic number, because the mean of its divisors is an integer number (833291550).

Almost surely, 2^346661887104 is an apocalyptic number.

346661887104 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 346661887104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639967910400).

346661887104 is an abundant number, since it is smaller than the sum of its proper divisors (933273933696).

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

346661887104 is a wasteful number, since it uses less digits than its factorization.

346661887104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 346661887104 in words is "three hundred forty-six billion, six hundred sixty-one million, eight hundred eighty-seven thousand, one hundred four".