3212056540 has 192 divisors, whose sum is σ = 8616803328. Its totient is φ = 976896000.

The previous prime is 3212056531. The next prime is 3212056541. The reversal of 3212056540 is 456502123.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 3212056499 and 3212056508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3212056541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16642684 + ... + 16642876.

It is an arithmetic number, because the mean of its divisors is an integer number (44879184).

Almost surely, 2^3212056540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3212056540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4308401664).

3212056540 is an abundant number, since it is smaller than the sum of its proper divisors (5404746788).

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

3212056540 is a wasteful number, since it uses less digits than its factorization.

3212056540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 3212056540 is about 56675.0080723417. The cubic root of 3212056540 is about 1475.4609747543.

Adding to 3212056540 its reverse (456502123), we get a palindrome (3668558663).

The spelling of 3212056540 in words is "three billion, two hundred twelve million, fifty-six thousand, five hundred forty".