3801600000 has 624 divisors, whose sum is σ = 15357142080. Its totient is φ = 921600000.

The previous prime is 3801599981. The next prime is 3801600013. The reversal of 3801600000 is 61083.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345599995 + ... + 345600005.

Almost surely, 2^3801600000 is an apocalyptic number.

3801600000 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 3801600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7678571040).

3801600000 is an abundant number, since it is smaller than the sum of its proper divisors (11555542080).

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

3801600000 is an frugal number, since it uses more digits than its factorization.

3801600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3801600000 is about 61657.1163775926. The cubic root of 3801600000 is about 1560.7097362217.

Adding to 3801600000 its reverse (61083), we get a palindrome (3801661083).

The spelling of 3801600000 in words is "three billion, eight hundred one million, six hundred thousand".