3808780800 has 480 divisors, whose sum is σ = 14028816384. Its totient is φ = 903168000.

The previous prime is 3808780799. The next prime is 3808780819. The reversal of 3808780800 is 80878083.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3808780800² = 29013622364897280000, which contains 22 as substring.

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, 29990337 + ... + 29990463.

Almost surely, 2^3808780800 is an apocalyptic number.

3808780800 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 3808780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7014408192).

3808780800 is an abundant number, since it is smaller than the sum of its proper divisors (10220035584).

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

3808780800 is a wasteful number, since it uses less digits than its factorization.

3808780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 3808780800 is about 61715.3206262432. The cubic root of 3808780800 is about 1561.6917872457.

The spelling of 3808780800 in words is "three billion, eight hundred eight million, seven hundred eighty thousand, eight hundred".