3335987047680 has 1260 divisors, whose sum is σ = 13985940931620. Its totient is φ = 761999228928.

The previous prime is 3335987047651. The next prime is 3335987047759. The reversal of 3335987047680 is 867407895333.

3335987047680 is a `hidden beast` number, since 3 + 3 + 3 + 5 + 9 + 87 + 0 + 476 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 948146217984 + 2387840829696 = 973728^2 + 1545264^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

It is a super-2 number, since 2×3335987047680² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 2240420376 + ... + 2240421864.

Almost surely, 2^{3335987047680} is an apocalyptic number.

3335987047680 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 3335987047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6992970465810).

3335987047680 is an abundant number, since it is smaller than the sum of its proper divisors (10649953883940).

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

3335987047680 is an frugal number, since it uses more digits than its factorization.

3335987047680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 3335987047680 in words is "three trillion, three hundred thirty-five billion, nine hundred eighty-seven million, forty-seven thousand, six hundred eighty".