3370753728000 has 480 divisors, whose sum is σ = 12156683565312. Its totient is φ = 897693696000.

The previous prime is 3370753727989. The next prime is 3370753728049. The reversal of 3370753728000 is 8273570733.

3370753728000 is a `hidden beast` number, since 3 + 37 + 0 + 7 + 537 + 2 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3370753728000² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 497084610 + ... + 497091390.

Almost surely, 2^{3370753728000} is an apocalyptic number.

3370753728000 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 3370753728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6078341782656).

3370753728000 is an abundant number, since it is smaller than the sum of its proper divisors (8785929837312).

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

3370753728000 is an equidigital number, since it uses as much as digits as its factorization.

3370753728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7683 (or 7654 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 3370753728000 in words is "three trillion, three hundred seventy billion, seven hundred fifty-three million, seven hundred twenty-eight thousand".