3782285280 has 240 divisors, whose sum is σ = 13414406544. Its totient is φ = 1007769600.

The previous prime is 3782285261. The next prime is 3782285321. The reversal of 3782285280 is 825822873.

3782285280 is a `hidden beast` number, since 378 + 228 + 52 + 8 + 0 = 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3148680 + ... + 3149880.

Almost surely, 2^3782285280 is an apocalyptic number.

3782285280 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 3782285280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6707203272).

3782285280 is an abundant number, since it is smaller than the sum of its proper divisors (9632121264).

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

3782285280 is an frugal number, since it uses more digits than its factorization.

3782285280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 3782285280 is about 61500.2868285994. The cubic root of 3782285280 is about 1558.0620906712.

The spelling of 3782285280 in words is "three billion, seven hundred eighty-two million, two hundred eighty-five thousand, two hundred eighty".