3780705348 has 216 divisors, whose sum is σ = 12039904800. Its totient is φ = 1022831712.

The previous prime is 3780705343. The next prime is 3780705349. The reversal of 3780705348 is 8435070873.

3780705348 is a `hidden beast` number, since 37 + 80 + 7 + 0 + 534 + 8 = 666.

It is a super-2 number, since 2×3780705348² = 28587465856791602208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3780705343) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1909423 + ... + 1911401.

It is an arithmetic number, because the mean of its divisors is an integer number (55740300).

Almost surely, 2^3780705348 is an apocalyptic number.

3780705348 is a gapful number since it is divisible by the number (38) 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 3780705348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6019952400).

3780705348 is an abundant number, since it is smaller than the sum of its proper divisors (8259199452).

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

3780705348 is a wasteful number, since it uses less digits than its factorization.

3780705348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 3780705348 is about 61487.4405712256. The cubic root of 3780705348 is about 1557.8451164692.

The spelling of 3780705348 in words is "three billion, seven hundred eighty million, seven hundred five thousand, three hundred forty-eight".