3682446720 has 128 divisors (see below), whose sum is σ = 11759286240. Its totient is φ = 980189184.

The previous prime is 3682446707. The next prime is 3682446727. The reversal of 3682446720 is 276442863.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3682446727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1298424 + ... + 1301256.

Almost surely, 2^3682446720 is an apocalyptic number.

3682446720 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 3682446720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5879643120).

3682446720 is an abundant number, since it is smaller than the sum of its proper divisors (8076839520).

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

3682446720 is a wasteful number, since it uses less digits than its factorization.

3682446720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3532 (or 3520 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The square root of 3682446720 is about 60683.1666939028. The cubic root of 3682446720 is about 1544.2306115671.

The spelling of 3682446720 in words is "three billion, six hundred eighty-two million, four hundred forty-six thousand, seven hundred twenty".