3338144640 has 96 divisors (see below), whose sum is σ = 11527050600. Its totient is φ = 890170368.

The previous prime is 3338144617. The next prime is 3338144651. The reversal of 3338144640 is 464418333.

It is a happy number.

3338144640 is a `hidden beast` number, since 3 + 3 + 3 + 8 + 1 + 4 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3338144640² = 22286419275121459200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3338144595 and 3338144604.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 284010 + ... + 295529.

Almost surely, 2^3338144640 is an apocalyptic number.

3338144640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3338144640 is an abundant number, since it is smaller than the sum of its proper divisors (8188905960).

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

3338144640 is a wasteful number, since it uses less digits than its factorization.

3338144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579564 (or 579549 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3338144640 is about 57776.6790322878. The cubic root of 3338144640 is about 1494.5199504186.

The spelling of 3338144640 in words is "three billion, three hundred thirty-eight million, one hundred forty-four thousand, six hundred forty".