3213632340 has 96 divisors (see below), whose sum is σ = 10016496000. Its totient is φ = 855380736.

The previous prime is 3213632321. The next prime is 3213632363. The reversal of 3213632340 is 432363123.

It is a happy number.

3213632340 is a `hidden beast` number, since 3 + 21 + 3 + 632 + 3 + 4 + 0 = 666.

3213632340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 302031 + ... + 312489.

It is an arithmetic number, because the mean of its divisors is an integer number (104338500).

Almost surely, 2^3213632340 is an apocalyptic number.

3213632340 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 3213632340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5008248000).

3213632340 is an abundant number, since it is smaller than the sum of its proper divisors (6802863660).

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

3213632340 is a wasteful number, since it uses less digits than its factorization.

3213632340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11046 (or 11038 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 3213632340 is about 56688.9084389530. The cubic root of 3213632340 is about 1475.7022170101.

Adding to 3213632340 its reverse (432363123), we get a palindrome (3645995463).

The spelling of 3213632340 in words is "three billion, two hundred thirteen million, six hundred thirty-two thousand, three hundred forty".