3964938120 has 256 divisors, whose sum is σ = 15527635200. Its totient is φ = 887224320.

The previous prime is 3964938097. The next prime is 3964938121. The reversal of 3964938120 is 218394693.

It is a happy number.

3964938120 is a `hidden beast` number, since 39 + 6 + 493 + 8 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3964938121) 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, 141604 + ... + 167276.

It is an arithmetic number, because the mean of its divisors is an integer number (60654825).

Almost surely, 2^3964938120 is an apocalyptic number.

3964938120 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 3964938120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7763817600).

3964938120 is an abundant number, since it is smaller than the sum of its proper divisors (11562697080).

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

3964938120 is a wasteful number, since it uses less digits than its factorization.

3964938120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25717 (or 25707 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 3964938120 is about 62967.7546050357. The cubic root of 3964938120 is about 1582.7493284295.

The spelling of 3964938120 in words is "three billion, nine hundred sixty-four million, nine hundred thirty-eight thousand, one hundred twenty".