3952945977120 has 768 divisors, whose sum is σ = 16570770048000. Its totient is φ = 879098572800.

The previous prime is 3952945977119. The next prime is 3952945977121. The reversal of 3952945977120 is 217795492593.

3952945977120 is a `hidden beast` number, since 3 + 9 + 5 + 29 + 4 + 597 + 7 + 12 + 0 = 666.

3952945977120 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 (3952945977119) and next prime (3952945977121).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3952945977121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54789070 + ... + 54861170.

It is an arithmetic number, because the mean of its divisors is an integer number (21576523500).

Almost surely, 2^{3952945977120} is an apocalyptic number.

3952945977120 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 3952945977120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8285385024000).

3952945977120 is an abundant number, since it is smaller than the sum of its proper divisors (12617824070880).

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

3952945977120 is a wasteful number, since it uses less digits than its factorization.

3952945977120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72183 (or 72155 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 3952945977120 in words is "three trillion, nine hundred fifty-two billion, nine hundred forty-five million, nine hundred seventy-seven thousand, one hundred twenty".