3954350177960 has 1024 divisors, whose sum is σ = 11929946112000. Its totient is φ = 1170505728000.

The previous prime is 3954350177873. The next prime is 3954350177977. The reversal of 3954350177960 is 697710534593.

3954350177960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3954350177960.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 39151981910 + ... + 39151982010.

It is an arithmetic number, because the mean of its divisors is an integer number (11650338000).

Almost surely, 2^{3954350177960} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3954350177960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5964973056000).

3954350177960 is an abundant number, since it is smaller than the sum of its proper divisors (7975595934040).

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

3954350177960 is a wasteful number, since it uses less digits than its factorization.

3954350177960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 21432600, while the sum is 59.

The spelling of 3954350177960 in words is "three trillion, nine hundred fifty-four billion, three hundred fifty million, one hundred seventy-seven thousand, nine hundred sixty".