3955102756560 has 320 divisors, whose sum is σ = 13919730508800. Its totient is φ = 1031753392128.

The previous prime is 3955102756543. The next prime is 3955102756597. The reversal of 3955102756560 is 656572015593.

3955102756560 is a `hidden beast` number, since 3 + 9 + 5 + 5 + 1 + 0 + 2 + 75 + 6 + 560 = 666.

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 = 3955102756497 and 3955102756506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 239274376 + ... + 239290904.

It is an arithmetic number, because the mean of its divisors is an integer number (43499157840).

Almost surely, 2^{3955102756560} is an apocalyptic number.

3955102756560 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 3955102756560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6959865254400).

3955102756560 is an abundant number, since it is smaller than the sum of its proper divisors (9964627752240).

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

3955102756560 is a wasteful number, since it uses less digits than its factorization.

3955102756560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18955 (or 18943 counting only the distinct ones).

The product of its (nonzero) digits is 8505000, while the sum is 54.

The spelling of 3955102756560 in words is "three trillion, nine hundred fifty-five billion, one hundred two million, seven hundred fifty-six thousand, five hundred sixty".