3940733280 has 384 divisors, whose sum is σ = 14686189056. Its totient is φ = 877363200.

The previous prime is 3940733249. The next prime is 3940733287. The reversal of 3940733280 is 823370493.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3940733287) 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, 3859170 + ... + 3860190.

It is an arithmetic number, because the mean of its divisors is an integer number (38245284).

Almost surely, 2^3940733280 is an apocalyptic number.

3940733280 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 3940733280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7343094528).

3940733280 is an abundant number, since it is smaller than the sum of its proper divisors (10745455776).

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

3940733280 is a wasteful number, since it uses less digits than its factorization.

3940733280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 3940733280 is about 62775.2600950406. The cubic root of 3940733280 is about 1579.5220046355.

The spelling of 3940733280 in words is "three billion, nine hundred forty million, seven hundred thirty-three thousand, two hundred eighty".