3212765640 has 256 divisors, whose sum is σ = 12525004800. Its totient is φ = 717196032.

The previous prime is 3212765627. The next prime is 3212765641. The reversal of 3212765640 is 465672123.

3212765640 is a `hidden beast` number, since 3 + 2 + 1 + 2 + 7 + 6 + 5 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3212765595 and 3212765604.

It is not an unprimeable number, because it can be changed into a prime (3212765641) 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, 320139 + ... + 330021.

It is an arithmetic number, because the mean of its divisors is an integer number (48925800).

Almost surely, 2^3212765640 is an apocalyptic number.

3212765640 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 3212765640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6262502400).

3212765640 is an abundant number, since it is smaller than the sum of its proper divisors (9312239160).

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

3212765640 is a wasteful number, since it uses less digits than its factorization.

3212765640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9953 (or 9943 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3212765640 is about 56681.2635709544. The cubic root of 3212765640 is about 1475.5695420001.

The spelling of 3212765640 in words is "three billion, two hundred twelve million, seven hundred sixty-five thousand, six hundred forty".