3455976101760 has 2048 divisors, whose sum is σ = 15996524544000. Its totient is φ = 684745850880.

The previous prime is 3455976101737. The next prime is 3455976101777. The reversal of 3455976101760 is 671016795543.

3455976101760 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 9 + 7 + 610 + 17 + 6 + 0 = 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 = 3455976101697 and 3455976101706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3913902279 + ... + 3913903161.

It is an arithmetic number, because the mean of its divisors is an integer number (7810803000).

Almost surely, 2^{3455976101760} is an apocalyptic number.

3455976101760 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 3455976101760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7998262272000).

3455976101760 is an abundant number, since it is smaller than the sum of its proper divisors (12540548442240).

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

3455976101760 is a wasteful number, since it uses less digits than its factorization.

3455976101760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 3455976101760 in words is "three trillion, four hundred fifty-five billion, nine hundred seventy-six million, one hundred one thousand, seven hundred sixty".