3960273156840 has 3072 divisors, whose sum is σ = 19020718080000. Its totient is φ = 701653155840.

The previous prime is 3960273156817. The next prime is 3960273156971. The reversal of 3960273156840 is 486513720693.

3960273156840 is a `hidden beast` number, since 3 + 9 + 6 + 0 + 2 + 7 + 31 + 568 + 40 = 666.

3960273156840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 23714210437 + ... + 23714210603.

It is an arithmetic number, because the mean of its divisors is an integer number (6191640000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅3960273156840 = 7920546313680, but 3⋅3960273156840 = 11880819470520 is not.

Almost surely, 2^{3960273156840} is an apocalyptic number.

3960273156840 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 3960273156840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9510359040000).

3960273156840 is an abundant number, since it is smaller than the sum of its proper divisors (15060444923160).

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

3960273156840 is a wasteful number, since it uses less digits than its factorization.

3960273156840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 3960273156840 in words is "three trillion, nine hundred sixty billion, two hundred seventy-three million, one hundred fifty-six thousand, eight hundred forty".