3673829376 has 312 divisors, whose sum is σ = 12675736320. Its totient is φ = 1002405888.

The previous prime is 3673829347. The next prime is 3673829447. The reversal of 3673829376 is 6739283763.

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 23 ways as a sum of consecutive naturals, for example, 5934795 + ... + 5935413.

It is an arithmetic number, because the mean of its divisors is an integer number (40627360).

Almost surely, 2^3673829376 is an apocalyptic number.

3673829376 is a gapful number since it is divisible by the number (36) 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 3673829376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6337868160).

3673829376 is an abundant number, since it is smaller than the sum of its proper divisors (9001906944).

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

3673829376 is a wasteful number, since it uses less digits than its factorization.

3673829376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 654 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 54.

The square root of 3673829376 is about 60612.1223518860. The cubic root of 3673829376 is about 1543.0251123417.

The spelling of 3673829376 in words is "three billion, six hundred seventy-three million, eight hundred twenty-nine thousand, three hundred seventy-six".