3366720339840 has 3840 divisors, whose sum is σ = 15636139041600. Its totient is φ = 683193139200.

The previous prime is 3366720339839. The next prime is 3366720339887. The reversal of 3366720339840 is 489330276633.

3366720339840 is a `hidden beast` number, since 3 + 3 + 6 + 6 + 7 + 203 + 398 + 40 = 666.

3366720339840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3366720339840² (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 polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 63523025254 + ... + 63523025306.

Almost surely, 2^{3366720339840} is an apocalyptic number.

3366720339840 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 3366720339840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7818069520800).

3366720339840 is an abundant number, since it is smaller than the sum of its proper divisors (12269418701760).

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

3366720339840 is a wasteful number, since it uses less digits than its factorization.

3366720339840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 54.

The spelling of 3366720339840 in words is "three trillion, three hundred sixty-six billion, seven hundred twenty million, three hundred thirty-nine thousand, eight hundred forty".