3960431703360 has 560 divisors, whose sum is σ = 15448520336832. Its totient is φ = 955116748800.

The previous prime is 3960431703353. The next prime is 3960431703401. The reversal of 3960431703360 is 633071340693.

3960431703360 is a `hidden beast` number, since 3 + 9 + 60 + 431 + 70 + 33 + 60 = 666.

3960431703360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 54992175 + ... + 55064145.

Almost surely, 2^{3960431703360} is an apocalyptic number.

3960431703360 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 3960431703360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7724260168416).

3960431703360 is an abundant number, since it is smaller than the sum of its proper divisors (11488088633472).

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

3960431703360 is a wasteful number, since it uses less digits than its factorization.

3960431703360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72204 (or 72185 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 45.

The spelling of 3960431703360 in words is "three trillion, nine hundred sixty billion, four hundred thirty-one million, seven hundred three thousand, three hundred sixty".