3820291440 has 320 divisors, whose sum is σ = 14249088000. Its totient is φ = 828334080.

The previous prime is 3820291361. The next prime is 3820291483. The reversal of 3820291440 is 441920283.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2547811 + ... + 2549309.

It is an arithmetic number, because the mean of its divisors is an integer number (44528400).

Almost surely, 2^3820291440 is an apocalyptic number.

3820291440 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 3820291440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7124544000).

3820291440 is an abundant number, since it is smaller than the sum of its proper divisors (10428796560).

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

3820291440 is a wasteful number, since it uses less digits than its factorization.

3820291440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 3820291440 is about 61808.5062107150. The cubic root of 3820291440 is about 1563.2634182172.

The spelling of 3820291440 in words is "three billion, eight hundred twenty million, two hundred ninety-one thousand, four hundred forty".