336379680 has 576 divisors, whose sum is σ = 1505806848. Its totient is φ = 66355200.

The previous prime is 336379649. The next prime is 336379699. The reversal of 336379680 is 86973633.

It is a happy number.

336379680 is a `hidden beast` number, since 3 + 3 + 637 + 9 + 6 + 8 + 0 = 666.

It is a super-3 number, since 3×336379680³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 95 ways as a sum of consecutive naturals, for example, 2227605 + ... + 2227755.

It is an arithmetic number, because the mean of its divisors is an integer number (2614248).

Almost surely, 2^336379680 is an apocalyptic number.

336379680 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 336379680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752903424).

336379680 is an abundant number, since it is smaller than the sum of its proper divisors (1169427168).

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

336379680 is a wasteful number, since it uses less digits than its factorization.

336379680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 336379680 is about 18340.6564768004. The cubic root of 336379680 is about 695.4670910789.

The spelling of 336379680 in words is "three hundred thirty-six million, three hundred seventy-nine thousand, six hundred eighty".