353263680 has 672 divisors, whose sum is σ = 1597639680. Its totient is φ = 72161280.

The previous prime is 353263663. The next prime is 353263699. The reversal of 353263680 is 86362353.

It is a happy number.

353263680 is a `hidden beast` number, since 3 + 532 + 63 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

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, 5987491 + ... + 5987549.

It is an arithmetic number, because the mean of its divisors is an integer number (2377440).

Almost surely, 2^353263680 is an apocalyptic number.

353263680 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 353263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798819840).

353263680 is an abundant number, since it is smaller than the sum of its proper divisors (1244376000).

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

353263680 is a wasteful number, since it uses less digits than its factorization.

353263680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 353263680 is about 18795.3100533085. The cubic root of 353263680 is about 706.9135880123.

The spelling of 353263680 in words is "three hundred fifty-three million, two hundred sixty-three thousand, six hundred eighty".