3945322260 has 576 divisors, whose sum is σ = 15095808000. Its totient is φ = 821145600.

The previous prime is 3945322259. The next prime is 3945322267. The reversal of 3945322260 is 622235493.

It is a happy number.

3945322260 is a `hidden beast` number, since 39 + 45 + 322 + 260 = 666.

3945322260 is digitally balanced in base 2 and base 4, because in such bases 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3945322267) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19825641 + ... + 19825839.

It is an arithmetic number, because the mean of its divisors is an integer number (26208000).

Almost surely, 2^3945322260 is an apocalyptic number.

3945322260 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 3945322260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7547904000).

3945322260 is an abundant number, since it is smaller than the sum of its proper divisors (11150485740).

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

3945322260 is a wasteful number, since it uses less digits than its factorization.

3945322260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3945322260 is about 62811.8003244613. The cubic root of 3945322260 is about 1580.1348840676.

The spelling of 3945322260 in words is "three billion, nine hundred forty-five million, three hundred twenty-two thousand, two hundred sixty".