3782259360 has 480 divisors, whose sum is σ = 14924492352. Its totient is φ = 894136320.

The previous prime is 3782259353. The next prime is 3782259451. The reversal of 3782259360 is 639522873.

3782259360 is a `hidden beast` number, since 37 + 8 + 2 + 259 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 6129772 + ... + 6130388.

Almost surely, 2^3782259360 is an apocalyptic number.

3782259360 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 3782259360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7462246176).

3782259360 is an abundant number, since it is smaller than the sum of its proper divisors (11142232992).

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

3782259360 is a wasteful number, since it uses less digits than its factorization.

3782259360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3782259360 is about 61500.0760975139. The cubic root of 3782259360 is about 1558.0585315301.

The spelling of 3782259360 in words is "three billion, seven hundred eighty-two million, two hundred fifty-nine thousand, three hundred sixty".