3212639040 has 224 divisors, whose sum is σ = 11070823680. Its totient is φ = 784613376.

The previous prime is 3212639021. The next prime is 3212639041. The reversal of 3212639040 is 409362123.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3212638989 and 3212639007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3212639041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1708821 + ... + 1710699.

It is an arithmetic number, because the mean of its divisors is an integer number (49423320).

Almost surely, 2^3212639040 is an apocalyptic number.

3212639040 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 3212639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5535411840).

3212639040 is an abundant number, since it is smaller than the sum of its proper divisors (7858184640).

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

3212639040 is a wasteful number, since it uses less digits than its factorization.

3212639040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 3212639040 is about 56680.1467888008. The cubic root of 3212639040 is about 1475.5501599911.

The spelling of 3212639040 in words is "three billion, two hundred twelve million, six hundred thirty-nine thousand, forty".