3970305110016 has 208 divisors, whose sum is σ = 13442780876800. Its totient is φ = 1134372667392.

The previous prime is 3970305109999. The next prime is 3970305110029. The reversal of 3970305110016 is 6100115030793.

3970305110016 is a `hidden beast` number, since 39 + 70 + 30 + 511 + 0 + 0 + 16 = 666.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1790176 + ... + 3338463.

Almost surely, 2^{3970305110016} is an apocalyptic number.

3970305110016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3970305110016 is an abundant number, since it is smaller than the sum of its proper divisors (9472475766784).

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

3970305110016 is an equidigital number, since it uses as much as digits as its factorization.

3970305110016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5128679 (or 5128651 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The spelling of 3970305110016 in words is "three trillion, nine hundred seventy billion, three hundred five million, one hundred ten thousand, sixteen".