3758705280 has 288 divisors, whose sum is σ = 14269125780. Its totient is φ = 911032320.

The previous prime is 3758705263. The next prime is 3758705297. The reversal of 3758705280 is 825078573.

3758705280 is a `hidden beast` number, since 3 + 7 + 58 + 70 + 528 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3758705263) and next prime (3758705297).

It can be written as a sum of positive squares in 2 ways, for example, as 3591365184 + 167340096 = 59928^2 + 12936^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 694264 + ... + 699656.

Almost surely, 2^3758705280 is an apocalyptic number.

3758705280 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 3758705280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7134562890).

3758705280 is an abundant number, since it is smaller than the sum of its proper divisors (10510420500).

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

3758705280 is a wasteful number, since it uses less digits than its factorization.

3758705280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5440 (or 5414 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 3758705280 is about 61308.2806805084. The cubic root of 3758705280 is about 1554.8175163147.

The spelling of 3758705280 in words is "three billion, seven hundred fifty-eight million, seven hundred five thousand, two hundred eighty".