3985477272720 has 240 divisors, whose sum is σ = 13882440341952. Its totient is φ = 1062628968960.

The previous prime is 3985477272713. The next prime is 3985477272727. The reversal of 3985477272720 is 272727745893.

3985477272720 is a `hidden beast` number, since 3 + 98 + 5 + 477 + 2 + 7 + 2 + 72 + 0 = 666.

3985477272720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3985477272713) and next prime (3985477272727).

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (3985477272727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174384814 + ... + 174407666.

Almost surely, 2^{3985477272720} is an apocalyptic number.

3985477272720 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 3985477272720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6941220170976).

3985477272720 is an abundant number, since it is smaller than the sum of its proper divisors (9896963069232).

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

3985477272720 is a wasteful number, since it uses less digits than its factorization.

3985477272720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31852 (or 31834 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 63.

The spelling of 3985477272720 in words is "three trillion, nine hundred eighty-five billion, four hundred seventy-seven million, two hundred seventy-two thousand, seven hundred twenty".