3808149120 has 256 divisors, whose sum is σ = 13924224000. Its totient is φ = 982609920.

The previous prime is 3808149097. The next prime is 3808149131. The reversal of 3808149120 is 219418083.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 532126 + ... + 539234.

It is an arithmetic number, because the mean of its divisors is an integer number (54391500).

Almost surely, 2^3808149120 is an apocalyptic number.

3808149120 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 3808149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6962112000).

3808149120 is an abundant number, since it is smaller than the sum of its proper divisors (10116074880).

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

3808149120 is a wasteful number, since it uses less digits than its factorization.

3808149120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7168 (or 7150 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 3808149120 is about 61710.2027220783. The cubic root of 3808149120 is about 1561.6054478053.

The spelling of 3808149120 in words is "three billion, eight hundred eight million, one hundred forty-nine thousand, one hundred twenty".