3361587780096 has 480 divisors, whose sum is σ = 12231937605888. Its totient is φ = 864944455680.

The previous prime is 3361587780091. The next prime is 3361587780139. The reversal of 3361587780096 is 6900877851633.

3361587780096 is a `hidden beast` number, since 3 + 3 + 615 + 8 + 7 + 7 + 8 + 0 + 0 + 9 + 6 = 666.

It is a super-2 number, since 2×3361587780096² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3361587780091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17094685 + ... + 17290211.

Almost surely, 2^{3361587780096} is an apocalyptic number.

3361587780096 is a gapful number since it is divisible by the number (36) 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 3361587780096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6115968802944).

3361587780096 is an abundant number, since it is smaller than the sum of its proper divisors (8870349825792).

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

3361587780096 is a wasteful number, since it uses less digits than its factorization.

3361587780096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195612 (or 195593 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 3361587780096 in words is "three trillion, three hundred sixty-one billion, five hundred eighty-seven million, seven hundred eighty thousand, ninety-six".