3930942960 has 280 divisors, whose sum is σ = 15662077920. Its totient is φ = 898407936.

The previous prime is 3930942931. The next prime is 3930942971. The reversal of 3930942960 is 692490393.

It is a tau number, because it is divible by the number of its divisors (280).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 403426 + ... + 413054.

Almost surely, 2^3930942960 is an apocalyptic number.

3930942960 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 3930942960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7831038960).

3930942960 is an abundant number, since it is smaller than the sum of its proper divisors (11731134960).

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

3930942960 is an equidigital number, since it uses as much as digits as its factorization.

3930942960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9667 (or 9646 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 3930942960 is about 62697.2324748071. The cubic root of 3930942960 is about 1578.2128701248.

The spelling of 3930942960 in words is "three billion, nine hundred thirty million, nine hundred forty-two thousand, nine hundred sixty".