3800442240 has 384 divisors, whose sum is σ = 15558117120. Its totient is φ = 868423680.

The previous prime is 3800442223. The next prime is 3800442251. The reversal of 3800442240 is 422440083.

It is a happy number.

3800442240 is a `hidden beast` number, since 380 + 0 + 4 + 42 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3800442240² = 28886722439152435200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1086895 + ... + 1090385.

It is an arithmetic number, because the mean of its divisors is an integer number (40515930).

Almost surely, 2^3800442240 is an apocalyptic number.

3800442240 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 3800442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7779058560).

3800442240 is an abundant number, since it is smaller than the sum of its proper divisors (11757674880).

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

3800442240 is an equidigital number, since it uses as much as digits as its factorization.

3800442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3532 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 3800442240 is about 61647.7269653959. The cubic root of 3800442240 is about 1560.5512844500.

It can be divided in two parts, 3800 and 442240, that added together give a triangular number (446040 = T₉₄₄).

The spelling of 3800442240 in words is "three billion, eight hundred million, four hundred forty-two thousand, two hundred forty".