3952706273280 has 1440 divisors, whose sum is σ = 15148482935040. Its totient is φ = 986940702720.

The previous prime is 3952706273233. The next prime is 3952706273497. The reversal of 3952706273280 is 823726072593.

3952706273280 is a `hidden beast` number, since 3 + 9 + 5 + 2 + 7 + 0 + 627 + 3 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23668899757 + ... + 23668899923.

It is an arithmetic number, because the mean of its divisors is an integer number (10519779816).

Almost surely, 2^{3952706273280} is an apocalyptic number.

3952706273280 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 3952706273280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7574241467520).

3952706273280 is an abundant number, since it is smaller than the sum of its proper divisors (11195776661760).

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

3952706273280 is an equidigital number, since it uses as much as digits as its factorization.

3952706273280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 3952706273280 in words is "three trillion, nine hundred fifty-two billion, seven hundred six million, two hundred seventy-three thousand, two hundred eighty".