3687260832 has 144 divisors (see below), whose sum is σ = 11425115520. Its totient is φ = 1156709376.

The previous prime is 3687260803. The next prime is 3687260861. The reversal of 3687260832 is 2380627863.

3687260832 is a `hidden beast` number, since 3 + 6 + 8 + 7 + 2 + 608 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (3687260803) and next prime (3687260861).

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242313 + ... + 257079.

It is an arithmetic number, because the mean of its divisors is an integer number (79341080).

Almost surely, 2^3687260832 is an apocalyptic number.

3687260832 is a gapful number since it is divisible by the number (32) 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 3687260832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5712557760).

3687260832 is an abundant number, since it is smaller than the sum of its proper divisors (7737854688).

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

3687260832 is a wasteful number, since it uses less digits than its factorization.

3687260832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14820 (or 14789 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3687260832 is about 60722.8196973757. The cubic root of 3687260832 is about 1544.9032496677.

The spelling of 3687260832 in words is "three billion, six hundred eighty-seven million, two hundred sixty thousand, eight hundred thirty-two".