3970310722560 has 3520 divisors, whose sum is σ = 18974805696000. Its totient is φ = 786579849216.

The previous prime is 3970310722549. The next prime is 3970310722577. The reversal of 3970310722560 is 652270130793.

3970310722560 is a `hidden beast` number, since 3 + 9 + 7 + 0 + 3 + 10 + 72 + 2 + 560 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 35135493064 + ... + 35135493176.

It is an arithmetic number, because the mean of its divisors is an integer number (5390569800).

Almost surely, 2^{3970310722560} is an apocalyptic number.

3970310722560 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 3970310722560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9487402848000).

3970310722560 is an abundant number, since it is smaller than the sum of its proper divisors (15004494973440).

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

3970310722560 is a wasteful number, since it uses less digits than its factorization.

3970310722560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 3970310722560 in words is "three trillion, nine hundred seventy billion, three hundred ten million, seven hundred twenty-two thousand, five hundred sixty".