3335383941120 has 2112 divisors, whose sum is σ = 15829098195456. Its totient is φ = 652298158080.

The previous prime is 3335383941119. The next prime is 3335383941133. The reversal of 3335383941120 is 211493835333.

3335383941120 is a `hidden beast` number, since 3 + 3 + 3 + 538 + 3 + 94 + 1 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×3335383941120² (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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 196199055352 + ... + 196199055368.

Almost surely, 2^{3335383941120} is an apocalyptic number.

3335383941120 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 3335383941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7914549097728).

3335383941120 is an abundant number, since it is smaller than the sum of its proper divisors (12493714254336).

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

3335383941120 is an frugal number, since it uses more digits than its factorization.

3335383941120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 3335383941120 in words is "three trillion, three hundred thirty-five billion, three hundred eighty-three million, nine hundred forty-one thousand, one hundred twenty".