3970552320 has 360 divisors, whose sum is σ = 16000771644. Its totient is φ = 907296768.

The previous prime is 3970552297. The next prime is 3970552321. The reversal of 3970552320 is 232550793.

3970552320 is a `hidden beast` number, since 3 + 9 + 70 + 552 + 32 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3780774144 + 189778176 = 61488^2 + 13776^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3970552321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1127202 + ... + 1130718.

Almost surely, 2^3970552320 is an apocalyptic number.

3970552320 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 3970552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8000385822).

3970552320 is an abundant number, since it is smaller than the sum of its proper divisors (12030219324).

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

3970552320 is a wasteful number, since it uses less digits than its factorization.

3970552320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 3970552320 is about 63012.3187956133. The cubic root of 3970552320 is about 1583.4960135218.

The spelling of 3970552320 in words is "three billion, nine hundred seventy million, five hundred fifty-two thousand, three hundred twenty".