333740672 has 32 divisors (see below), whose sum is σ = 693787680. Its totient is φ = 159613696.

The previous prime is 333740657. The next prime is 333740677. The reversal of 333740672 is 276047333.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×333740672³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (333740677) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 53738 + ... + 59625.

It is an arithmetic number, because the mean of its divisors is an integer number (21680865).

Almost surely, 2^333740672 is an apocalyptic number.

333740672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

333740672 is an abundant number, since it is smaller than the sum of its proper divisors (360047008).

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

333740672 is a wasteful number, since it uses less digits than its factorization.

333740672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113400 (or 113388 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 35.

The square root of 333740672 is about 18268.5706063720. The cubic root of 333740672 is about 693.6435922399.

The spelling of 333740672 in words is "three hundred thirty-three million, seven hundred forty thousand, six hundred seventy-two".