3803648940 has 288 divisors, whose sum is σ = 14399339136. Its totient is φ = 791285760.

The previous prime is 3803648939. The next prime is 3803648963. The reversal of 3803648940 is 498463083.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1194150 + ... + 1197330.

Almost surely, 2^3803648940 is an apocalyptic number.

3803648940 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 3803648940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7199669568).

3803648940 is an abundant number, since it is smaller than the sum of its proper divisors (10595690196).

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

3803648940 is a wasteful number, since it uses less digits than its factorization.

3803648940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3289 (or 3284 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3803648940 is about 61673.7297396550. The cubic root of 3803648940 is about 1560.9900766288.

The spelling of 3803648940 in words is "three billion, eight hundred three million, six hundred forty-eight thousand, nine hundred forty".