3840672 has 48 divisors (see below), whose sum is σ = 11001312. Its totient is φ = 1163520.

The previous prime is 3840671. The next prime is 3840689. The reversal of 3840672 is 2760483.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×3840672³ (a number of 21 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 (3840671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 763 + ... + 2874.

It is an arithmetic number, because the mean of its divisors is an integer number (229194).

Almost surely, 2^3840672 is an apocalyptic number.

3840672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3840672 is an abundant number, since it is smaller than the sum of its proper divisors (7160640).

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

3840672 is a wasteful number, since it uses less digits than its factorization.

3840672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3661 (or 3653 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 3840672 is about 1959.7632510076. The cubic root of 3840672 is about 156.6038398051.

The spelling of 3840672 in words is "three million, eight hundred forty thousand, six hundred seventy-two".