3335145840 has 560 divisors, whose sum is σ = 12910236192. Its totient is φ = 795764736.

The previous prime is 3335145839. The next prime is 3335145883. The reversal of 3335145840 is 485415333.

3335145840 is a `hidden beast` number, since 33 + 35 + 14 + 584 + 0 = 666.

It is a super-3 number, since 3×3335145840³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3335145795 and 3335145804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 40182439 + ... + 40182521.

Almost surely, 2^3335145840 is an apocalyptic number.

3335145840 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 3335145840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6455118096).

3335145840 is an abundant number, since it is smaller than the sum of its proper divisors (9575090352).

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

3335145840 is a wasteful number, since it uses less digits than its factorization.

3335145840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3335145840 is about 57750.7215539339. The cubic root of 3335145840 is about 1494.0722856591.

The spelling of 3335145840 in words is "three billion, three hundred thirty-five million, one hundred forty-five thousand, eight hundred forty".