3833706240 has 1152 divisors, whose sum is σ = 17801441280. Its totient is φ = 759103488.

The previous prime is 3833706221. The next prime is 3833706241. The reversal of 3833706240 is 426073383.

3833706240 is a `hidden beast` number, since 383 + 37 + 0 + 6 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×3833706240² = 29394607069229875200, which contains 22 as substring.

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 = 3833706195 and 3833706204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3833706241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72334054 + ... + 72334106.

It is an arithmetic number, because the mean of its divisors is an integer number (15452640).

Almost surely, 2^3833706240 is an apocalyptic number.

3833706240 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 3833706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8900720640).

3833706240 is an abundant number, since it is smaller than the sum of its proper divisors (13967735040).

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

3833706240 is a wasteful number, since it uses less digits than its factorization.

3833706240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3833706240 is about 61916.9301564604. The cubic root of 3833706240 is about 1565.0910595622.

The spelling of 3833706240 in words is "three billion, eight hundred thirty-three million, seven hundred six thousand, two hundred forty".