3778552800 has 1008 divisors, whose sum is σ = 16393950720. Its totient is φ = 839808000.

The previous prime is 3778552793. The next prime is 3778552801. The reversal of 3778552800 is 82558773.

It is a super-2 number, since 2×3778552800² = 28554922524775680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3778552801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 121888785 + ... + 121888815.

It is an arithmetic number, because the mean of its divisors is an integer number (16263840).

Almost surely, 2^3778552800 is an apocalyptic number.

3778552800 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 3778552800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8196975360).

3778552800 is an abundant number, since it is smaller than the sum of its proper divisors (12615397920).

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

3778552800 is a wasteful number, since it uses less digits than its factorization.

3778552800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 3778552800 is about 61469.9341141667. The cubic root of 3778552800 is about 1557.5494068339.

The spelling of 3778552800 in words is "three billion, seven hundred seventy-eight million, five hundred fifty-two thousand, eight hundred".