3395658792960 has 2880 divisors, whose sum is σ = 15814350316800. Its totient is φ = 684913065984.

The previous prime is 3395658792959. The next prime is 3395658792973. The reversal of 3395658792960 is 692978565933.

3395658792960 is a `hidden beast` number, since 3 + 39 + 5 + 6 + 587 + 9 + 2 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35006791632 + ... + 35006791728.

It is an arithmetic number, because the mean of its divisors is an integer number (5491093860).

Almost surely, 2^{3395658792960} is an apocalyptic number.

3395658792960 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 3395658792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7907175158400).

3395658792960 is an abundant number, since it is smaller than the sum of its proper divisors (12418691523840).

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

3395658792960 is a wasteful number, since it uses less digits than its factorization.

3395658792960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 661348800, while the sum is 72.

The spelling of 3395658792960 in words is "three trillion, three hundred ninety-five billion, six hundred fifty-eight million, seven hundred ninety-two thousand, nine hundred sixty".