336541680 has 240 divisors, whose sum is σ = 1209580320. Its totient is φ = 83607552.

The previous prime is 336541651. The next prime is 336541687. The reversal of 336541680 is 86145633.

336541680 is a `hidden beast` number, since 3 + 36 + 541 + 6 + 80 = 666.

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

It is a super-2 number, since 2×336541680² = 226520604754444800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336541687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 998472 + ... + 998808.

It is an arithmetic number, because the mean of its divisors is an integer number (5039918).

Almost surely, 2^336541680 is an apocalyptic number.

336541680 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 336541680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604790160).

336541680 is an abundant number, since it is smaller than the sum of its proper divisors (873038640).

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

336541680 is a wasteful number, since it uses less digits than its factorization.

336541680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 336541680 is about 18345.0723628990. The cubic root of 336541680 is about 695.5787184985.

The spelling of 336541680 in words is "three hundred thirty-six million, five hundred forty-one thousand, six hundred eighty".