3367679148288 has 720 divisors, whose sum is σ = 12334993516160. Its totient is φ = 887814660096.

The previous prime is 3367679148181. The next prime is 3367679148289. The reversal of 3367679148288 is 8828419767633.

3367679148288 is a `hidden beast` number, since 3 + 3 + 6 + 7 + 67 + 9 + 1 + 482 + 88 = 666.

It is a super-2 number, since 2×3367679148288² (a number of 26 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3367679148289) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1381894206 + ... + 1381896642.

Almost surely, 2^{3367679148288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3367679148288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6167496758080).

3367679148288 is an abundant number, since it is smaller than the sum of its proper divisors (8967314367872).

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

3367679148288 is an frugal number, since it uses more digits than its factorization.

3367679148288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2521 (or 2462 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 72.

The spelling of 3367679148288 in words is "three trillion, three hundred sixty-seven billion, six hundred seventy-nine million, one hundred forty-eight thousand, two hundred eighty-eight".