3970920960 has 480 divisors, whose sum is σ = 14860834560. Its totient is φ = 976748544.

The previous prime is 3970920937. The next prime is 3970920983. The reversal of 3970920960 is 690290793.

It is an interprime number because it is at equal distance from previous prime (3970920937) and next prime (3970920983).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20574624 + ... + 20574816.

It is an arithmetic number, because the mean of its divisors is an integer number (30960072).

Almost surely, 2^3970920960 is an apocalyptic number.

3970920960 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 3970920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7430417280).

3970920960 is an abundant number, since it is smaller than the sum of its proper divisors (10889913600).

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

3970920960 is a wasteful number, since it uses less digits than its factorization.

3970920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 3970920960 is about 63015.2438700351. The cubic root of 3970920960 is about 1583.5450177794.

The spelling of 3970920960 in words is "three billion, nine hundred seventy million, nine hundred twenty thousand, nine hundred sixty".