3880396800 has 576 divisors, whose sum is σ = 16330204800. Its totient is φ = 884736000.

The previous prime is 3880396799. The next prime is 3880396853. The reversal of 3880396800 is 86930883.

It is a tau number, because it is divible by the number of its divisors (576).

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9676600 + ... + 9677000.

It is an arithmetic number, because the mean of its divisors is an integer number (28351050).

Almost surely, 2^3880396800 is an apocalyptic number.

3880396800 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 3880396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8165102400).

3880396800 is an abundant number, since it is smaller than the sum of its proper divisors (12449808000).

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

3880396800 is a wasteful number, since it uses less digits than its factorization.

3880396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3880396800 is about 62292.8310482033. The cubic root of 3880396800 is about 1571.4191665710.

The spelling of 3880396800 in words is "three billion, eight hundred eighty million, three hundred ninety-six thousand, eight hundred".