341664480 has 240 divisors, whose sum is σ = 1237121424. Its totient is φ = 88750080.

The previous prime is 341664467. The next prime is 341664509. The reversal of 341664480 is 84466143.

341664480 is a `hidden beast` number, since 3 + 4 + 1 + 6 + 644 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 531039 + ... + 531681.

Almost surely, 2^341664480 is an apocalyptic number.

341664480 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 341664480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618560712).

341664480 is an abundant number, since it is smaller than the sum of its proper divisors (895456944).

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

341664480 is a wasteful number, since it uses less digits than its factorization.

341664480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 341664480 is about 18484.1683610597. The cubic root of 341664480 is about 699.0903012885.

It can be divided in two parts, 3416 and 64480, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 341664480 in words is "three hundred forty-one million, six hundred sixty-four thousand, four hundred eighty".