3820353840 has 240 divisors, whose sum is σ = 13161657600. Its totient is φ = 992752128.

The previous prime is 3820353821. The next prime is 3820353853. The reversal of 3820353840 is 483530283.

3820353840 is a `hidden beast` number, since 3 + 82 + 0 + 3 + 538 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 3820353795 and 3820353804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5904397 + ... + 5905043.

It is an arithmetic number, because the mean of its divisors is an integer number (54840240).

Almost surely, 2^3820353840 is an apocalyptic number.

3820353840 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 3820353840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6580828800).

3820353840 is an abundant number, since it is smaller than the sum of its proper divisors (9341303760).

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

3820353840 is a wasteful number, since it uses less digits than its factorization.

3820353840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3820353840 is about 61809.0109935437. The cubic root of 3820353840 is about 1563.2719295317.

The spelling of 3820353840 in words is "three billion, eight hundred twenty million, three hundred fifty-three thousand, eight hundred forty".