3379181794560 has 3456 divisors, whose sum is σ = 15591837381120. Its totient is φ = 687970713600.

The previous prime is 3379181794559. The next prime is 3379181794561. The reversal of 3379181794560 is 654971819733.

3379181794560 is a `hidden beast` number, since 3 + 3 + 7 + 9 + 1 + 8 + 179 + 456 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3379181794559) and next prime (3379181794561).

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×3379181794560² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3379181794561) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 31001667786 + ... + 31001667894.

It is an arithmetic number, because the mean of its divisors is an integer number (4511527020).

Almost surely, 2^{3379181794560} is an apocalyptic number.

3379181794560 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 3379181794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7795918690560).

3379181794560 is an abundant number, since it is smaller than the sum of its proper divisors (12212655586560).

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

3379181794560 is a wasteful number, since it uses less digits than its factorization.

3379181794560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 3379181794560 in words is "three trillion, three hundred seventy-nine billion, one hundred eighty-one million, seven hundred ninety-four thousand, five hundred sixty".