3705628320 has 72 divisors (see below), whose sum is σ = 12645461556. Its totient is φ = 988167168.

The previous prime is 3705628313. The next prime is 3705628321. The reversal of 3705628320 is 238265073.

3705628320 is a `hidden beast` number, since 3 + 7 + 0 + 5 + 628 + 3 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3627411984 + 78216336 = 60228^2 + 8844^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3705628321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1285237 + ... + 1288116.

Almost surely, 2^3705628320 is an apocalyptic number.

3705628320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3705628320 is an abundant number, since it is smaller than the sum of its proper divisors (8939833236).

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

3705628320 is a wasteful number, since it uses less digits than its factorization.

3705628320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573374 (or 2573363 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3705628320 is about 60873.8722277464. The cubic root of 3705628320 is about 1547.4642297882.

It can be divided in two parts, 3705 and 628320, that added together give a square (632025 = 795²).

The spelling of 3705628320 in words is "three billion, seven hundred five million, six hundred twenty-eight thousand, three hundred twenty".