3712685760 has 896 divisors, whose sum is σ = 16643543040. Its totient is φ = 759103488.

The previous prime is 3712685759. The next prime is 3712685771. The reversal of 3712685760 is 675862173.

3712685760 is a `hidden beast` number, since 3 + 7 + 12 + 68 + 576 + 0 = 666.

It is a super-3 number, since 3×3712685760³ (a number of 30 digits) contains 333 as substring.

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 127 ways as a sum of consecutive naturals, for example, 23647602 + ... + 23647758.

Almost surely, 2^3712685760 is an apocalyptic number.

3712685760 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 3712685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8321771520).

3712685760 is an abundant number, since it is smaller than the sum of its proper divisors (12930857280).

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

3712685760 is a wasteful number, since it uses less digits than its factorization.

3712685760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 3712685760 is about 60931.8123807260. The cubic root of 3712685760 is about 1548.4459985254.

The spelling of 3712685760 in words is "three billion, seven hundred twelve million, six hundred eighty-five thousand, seven hundred sixty".