3687368832 has 480 divisors, whose sum is σ = 13370829120. Its totient is φ = 986287104.

The previous prime is 3687368819. The next prime is 3687368869. The reversal of 3687368832 is 2388637863.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 78454633 + ... + 78454679.

It is an arithmetic number, because the mean of its divisors is an integer number (27855894).

Almost surely, 2^3687368832 is an apocalyptic number.

3687368832 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 3687368832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6685414560).

3687368832 is an abundant number, since it is smaller than the sum of its proper divisors (9683460288).

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

3687368832 is an equidigital number, since it uses as much as digits as its factorization.

3687368832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 82 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 3687368832 is about 60723.7089776308. The cubic root of 3687368832 is about 1544.9183329441.

The spelling of 3687368832 in words is "three billion, six hundred eighty-seven million, three hundred sixty-eight thousand, eight hundred thirty-two".