3967935930 has 256 divisors, whose sum is σ = 12433489920. Its totient is φ = 881798400.

The previous prime is 3967935929. The next prime is 3967935947. The reversal of 3967935930 is 395397693.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14641695 + ... + 14641965.

It is an arithmetic number, because the mean of its divisors is an integer number (48568320).

Almost surely, 2^3967935930 is an apocalyptic number.

3967935930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3967935930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6216744960).

3967935930 is an abundant number, since it is smaller than the sum of its proper divisors (8465553990).

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

3967935930 is a wasteful number, since it uses less digits than its factorization.

3967935930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 4133430, while the sum is 54.

The square root of 3967935930 is about 62991.5544339080. The cubic root of 3967935930 is about 1583.1481229219.

The spelling of 3967935930 in words is "three billion, nine hundred sixty-seven million, nine hundred thirty-five thousand, nine hundred thirty".