3970380960 has 576 divisors, whose sum is σ = 17105437440. Its totient is φ = 816168960.

The previous prime is 3970380929. The next prime is 3970380979. The reversal of 3970380960 is 690830793.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 5372271 + ... + 5373009.

It is an arithmetic number, because the mean of its divisors is an integer number (29696940).

Almost surely, 2^3970380960 is an apocalyptic number.

3970380960 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 3970380960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8552718720).

3970380960 is an abundant number, since it is smaller than the sum of its proper divisors (13135056480).

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

3970380960 is a wasteful number, since it uses less digits than its factorization.

3970380960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 3970380960 is about 63010.9590468198. The cubic root of 3970380960 is about 1583.4732331663.

The spelling of 3970380960 in words is "three billion, nine hundred seventy million, three hundred eighty thousand, nine hundred sixty".