3361395179520 has 760 divisors, whose sum is σ = 13775846445504. Its totient is φ = 768149028864.

The previous prime is 3361395179509. The next prime is 3361395179561. The reversal of 3361395179520 is 259715931633.

3361395179520 is a `hidden beast` number, since 3 + 3 + 6 + 1 + 39 + 517 + 95 + 2 + 0 = 666.

It is a super-2 number, since 2×3361395179520² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 743175979 + ... + 743180501.

Almost surely, 2^{3361395179520} is an apocalyptic number.

3361395179520 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 3361395179520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6887923222752).

3361395179520 is an abundant number, since it is smaller than the sum of its proper divisors (10414451265984).

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

3361395179520 is an frugal number, since it uses more digits than its factorization.

3361395179520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4583 (or 4540 counting only the distinct ones).

The product of its (nonzero) digits is 4592700, while the sum is 54.

The spelling of 3361395179520 in words is "three trillion, three hundred sixty-one billion, three hundred ninety-five million, one hundred seventy-nine thousand, five hundred twenty".