3340670618880 has 576 divisors, whose sum is σ = 13589532364800. Its totient is φ = 761256714240.

The previous prime is 3340670618869. The next prime is 3340670618903. The reversal of 3340670618880 is 888160760433.

3340670618880 is a `hidden beast` number, since 33 + 406 + 70 + 61 + 8 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3340670618880² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80054661 + ... + 80096379.

Almost surely, 2^{3340670618880} is an apocalyptic number.

3340670618880 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 3340670618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6794766182400).

3340670618880 is an abundant number, since it is smaller than the sum of its proper divisors (10248861745920).

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

3340670618880 is a wasteful number, since it uses less digits than its factorization.

3340670618880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42087 (or 42067 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 3340670618880 in words is "three trillion, three hundred forty billion, six hundred seventy million, six hundred eighteen thousand, eight hundred eighty".