3820495680 has 672 divisors, whose sum is σ = 15438729600. Its totient is φ = 883851264.

The previous prime is 3820495667. The next prime is 3820495733. The reversal of 3820495680 is 865940283.

3820495680 is a `hidden beast` number, since 3 + 82 + 0 + 4 + 9 + 568 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103256622 + ... + 103256658.

It is an arithmetic number, because the mean of its divisors is an integer number (22974300).

Almost surely, 2^3820495680 is an apocalyptic number.

3820495680 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 3820495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7719364800).

3820495680 is an abundant number, since it is smaller than the sum of its proper divisors (11618233920).

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

3820495680 is a wasteful number, since it uses less digits than its factorization.

3820495680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3820495680 is about 61810.1583884073. The cubic root of 3820495680 is about 1563.2912760596.

It can be divided in two parts, 3820 and 495680, that added together give a triangular number (499500 = T₉₉₉).

The spelling of 3820495680 in words is "three billion, eight hundred twenty million, four hundred ninety-five thousand, six hundred eighty".