3833365140 has 432 divisors, whose sum is σ = 13899465216. Its totient is φ = 847065600.

The previous prime is 3833365093. The next prime is 3833365147. The reversal of 3833365140 is 415633383.

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 = 3833365095 and 3833365104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3833365147) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22158094 + ... + 22158266.

It is an arithmetic number, because the mean of its divisors is an integer number (32174688).

Almost surely, 2^3833365140 is an apocalyptic number.

3833365140 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 3833365140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6949732608).

3833365140 is an abundant number, since it is smaller than the sum of its proper divisors (10066100076).

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

3833365140 is a wasteful number, since it uses less digits than its factorization.

3833365140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3833365140 is about 61914.1755981617. The cubic root of 3833365140 is about 1565.0446407392.

The spelling of 3833365140 in words is "three billion, eight hundred thirty-three million, three hundred sixty-five thousand, one hundred forty".