3970122880 has 256 divisors, whose sum is σ = 10575360000. Its totient is φ = 1418526720.

The previous prime is 3970122869. The next prime is 3970122889. The reversal of 3970122880 is 882210793.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3970122889) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26645046 + ... + 26645194.

It is an arithmetic number, because the mean of its divisors is an integer number (41310000).

Almost surely, 2^3970122880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3970122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5287680000).

3970122880 is an abundant number, since it is smaller than the sum of its proper divisors (6605237120).

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

3970122880 is a wasteful number, since it uses less digits than its factorization.

3970122880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 3970122880 is about 63008.9111158096. The cubic root of 3970122880 is about 1583.4389231398.

The spelling of 3970122880 in words is "three billion, nine hundred seventy million, one hundred twenty-two thousand, eight hundred eighty".