3373666122240 has 960 divisors, whose sum is σ = 12828960144000. Its totient is φ = 848226484224.

The previous prime is 3373666122223. The next prime is 3373666122293. The reversal of 3373666122240 is 422216663733.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×3373666122240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 775731586 + ... + 775735934.

It is an arithmetic number, because the mean of its divisors is an integer number (13363500150).

Almost surely, 2^{3373666122240} is an apocalyptic number.

3373666122240 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 3373666122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6414480072000).

3373666122240 is an abundant number, since it is smaller than the sum of its proper divisors (9455294021760).

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

3373666122240 is an equidigital number, since it uses as much as digits as its factorization.

3373666122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4459 (or 4431 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 3373666122240 in words is "three trillion, three hundred seventy-three billion, six hundred sixty-six million, one hundred twenty-two thousand, two hundred forty".