3212385840 has 120 divisors (see below), whose sum is σ = 10798536528. Its totient is φ = 855820800.

The previous prime is 3212385833. The next prime is 3212385863. The reversal of 3212385840 is 485832123.

3212385840 is a `hidden beast` number, since 32 + 12 + 38 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 3212385795 and 3212385804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1367547 + ... + 1369893.

Almost surely, 2^3212385840 is an apocalyptic number.

3212385840 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 3212385840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5399268264).

3212385840 is an abundant number, since it is smaller than the sum of its proper divisors (7586150688).

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

3212385840 is a wasteful number, since it uses less digits than its factorization.

3212385840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4267 (or 4258 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3212385840 is about 56677.9131584782. The cubic root of 3212385840 is about 1475.5113944455.

The spelling of 3212385840 in words is "three billion, two hundred twelve million, three hundred eighty-five thousand, eight hundred forty".