3212293656 has 256 divisors, whose sum is σ = 9863884800. Its totient is φ = 858470400.

The previous prime is 3212293619. The next prime is 3212293657. The reversal of 3212293656 is 6563922123.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3212293657) 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, 11596590 + ... + 11596866.

It is an arithmetic number, because the mean of its divisors is an integer number (38530800).

Almost surely, 2^3212293656 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 3212293656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4931942400).

3212293656 is an abundant number, since it is smaller than the sum of its proper divisors (6651591144).

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

3212293656 is a wasteful number, since it uses less digits than its factorization.

3212293656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 446 counting only the distinct ones).

The product of its digits is 116640, while the sum is 39.

The square root of 3212293656 is about 56677.0999258078. The cubic root of 3212293656 is about 1475.4972803415.

The spelling of 3212293656 in words is "three billion, two hundred twelve million, two hundred ninety-three thousand, six hundred fifty-six".