3213354540 has 192 divisors, whose sum is σ = 10150253568. Its totient is φ = 752716800.

The previous prime is 3213354539. The next prime is 3213354559. The reversal of 3213354540 is 454533123.

It is a super-2 number, since 2×3213354540² = 20651294799477223200, which contains 22 as substring.

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 = 3213354498 and 3213354507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4419657 + ... + 4420383.

It is an arithmetic number, because the mean of its divisors is an integer number (52865904).

Almost surely, 2^3213354540 is an apocalyptic number.

3213354540 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 3213354540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5075126784).

3213354540 is an abundant number, since it is smaller than the sum of its proper divisors (6936899028).

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

3213354540 is a wasteful number, since it uses less digits than its factorization.

3213354540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 3213354540 is about 56686.4581712423. The cubic root of 3213354540 is about 1475.6596938000.

Adding to 3213354540 its reverse (454533123), we get a palindrome (3667887663).

It can be divided in two parts, 3213 and 354540, that added together give a palindrome (357753).

The spelling of 3213354540 in words is "three billion, two hundred thirteen million, three hundred fifty-four thousand, five hundred forty".