335008872 has 160 divisors (see below), whose sum is σ = 1048402080. Its totient is φ = 99066240.

The previous prime is 335008871. The next prime is 335008897. The reversal of 335008872 is 278800533.

335008872 is a `hidden beast` number, since 3 + 3 + 500 + 88 + 72 = 666.

It is a super-2 number, since 2×335008872² = 224461888637424768, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (335008871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 305958 + ... + 307050.

It is an arithmetic number, because the mean of its divisors is an integer number (6552513).

Almost surely, 2^335008872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 335008872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524201040).

335008872 is an abundant number, since it is smaller than the sum of its proper divisors (713393208).

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

335008872 is a wasteful number, since it uses less digits than its factorization.

335008872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 335008872 is about 18303.2475806891. The cubic root of 335008872 is about 694.5210868304.

The spelling of 335008872 in words is "three hundred thirty-five million, eight thousand, eight hundred seventy-two".