346661349300 has 216 divisors, whose sum is σ = 1243253787776. Its totient is φ = 79145268480.

The previous prime is 346661349289. The next prime is 346661349319. The reversal of 346661349300 is 3943166643.

It is a super-2 number, since 2×346661349300² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5493729 + ... + 5556471.

Almost surely, 2^346661349300 is an apocalyptic number.

346661349300 is a gapful number since it is divisible by the number (30) 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 346661349300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621626893888).

346661349300 is an abundant number, since it is smaller than the sum of its proper divisors (896592438476).

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

346661349300 is a wasteful number, since it uses less digits than its factorization.

346661349300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63647 (or 63637 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 346661349300 in words is "three hundred forty-six billion, six hundred sixty-one million, three hundred forty-nine thousand, three hundred".