3212213760 has 400 divisors, whose sum is σ = 13154666976. Its totient is φ = 733888512.

The previous prime is 3212213729. The next prime is 3212213773. The reversal of 3212213760 is 673122123.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1450414 + ... + 1452626.

Almost surely, 2^3212213760 is an apocalyptic number.

3212213760 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 3212213760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6577333488).

3212213760 is an abundant number, since it is smaller than the sum of its proper divisors (9942453216).

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

3212213760 is an equidigital number, since it uses as much as digits as its factorization.

3212213760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3212213760 is about 56676.3950864908. The cubic root of 3212213760 is about 1475.4850474096.

Adding to 3212213760 its reverse (673122123), we get a palindrome (3885335883).

The spelling of 3212213760 in words is "three billion, two hundred twelve million, two hundred thirteen thousand, seven hundred sixty".