3367402536960 has 1088 divisors, whose sum is σ = 14930266152960. Its totient is φ = 699578449920.

The previous prime is 3367402536893. The next prime is 3367402536991. The reversal of 3367402536960 is 696352047633.

It is a happy number.

3367402536960 is a `hidden beast` number, since 3 + 3 + 6 + 7 + 40 + 2 + 536 + 9 + 60 = 666.

It is a super-2 number, since 2×3367402536960² (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 junction number, because it is equal to n+sod(n) for n = 3367402536897 and 3367402536906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 681244249 + ... + 681249191.

Almost surely, 2^{3367402536960} is an apocalyptic number.

3367402536960 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 3367402536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7465133076480).

3367402536960 is an abundant number, since it is smaller than the sum of its proper divisors (11562863616000).

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

3367402536960 is an equidigital number, since it uses as much as digits as its factorization.

3367402536960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5007 (or 4971 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 54.

The spelling of 3367402536960 in words is "three trillion, three hundred sixty-seven billion, four hundred two million, five hundred thirty-six thousand, nine hundred sixty".