3808788480 has 640 divisors, whose sum is σ = 15986345760. Its totient is φ = 849346560.

The previous prime is 3808788479. The next prime is 3808788481. The reversal of 3808788480 is 848878083.

3808788480 is a `hidden beast` number, since 3 + 8 + 0 + 87 + 88 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (3808788479) and next prime (3808788481).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3808788481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92897260 + ... + 92897300.

Almost surely, 2^3808788480 is an apocalyptic number.

3808788480 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 3808788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7993172880).

3808788480 is an abundant number, since it is smaller than the sum of its proper divisors (12177557280).

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

3808788480 is an frugal number, since it uses more digits than its factorization.

3808788480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The square root of 3808788480 is about 61715.3828473906. The cubic root of 3808788480 is about 1561.6928369066.

The spelling of 3808788480 in words is "three billion, eight hundred eight million, seven hundred eighty-eight thousand, four hundred eighty".