3945032955360 has 2016 divisors, whose sum is σ = 18125793131040. Its totient is φ = 803635789824.

The previous prime is 3945032955319. The next prime is 3945032955371. The reversal of 3945032955360 is 635592305493.

It is a happy number.

3945032955360 is a `hidden beast` number, since 3 + 9 + 4 + 5 + 0 + 3 + 29 + 553 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a junction number, because it is equal to n+sod(n) for n = 3945032955297 and 3945032955306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1846060212 + ... + 1846062348.

It is an arithmetic number, because the mean of its divisors is an integer number (8990968815).

Almost surely, 2^{3945032955360} is an apocalyptic number.

3945032955360 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 3945032955360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9062896565520).

3945032955360 is an abundant number, since it is smaller than the sum of its proper divisors (14180760175680).

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

3945032955360 is a wasteful number, since it uses less digits than its factorization.

3945032955360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 13122000, while the sum is 54.

The spelling of 3945032955360 in words is "three trillion, nine hundred forty-five billion, thirty-two million, nine hundred fifty-five thousand, three hundred sixty".