3769804800 has 504 divisors, whose sum is σ = 14152590270. Its totient is φ = 995328000.

The previous prime is 3769804777. The next prime is 3769804807. The reversal of 3769804800 is 84089673.

It is a happy number.

3769804800 is a `hidden beast` number, since 37 + 69 + 80 + 480 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3554067456 + 215737344 = 59616^2 + 14688^2 .

It is a super-2 number, since 2×3769804800² = 28422856460206080000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3769804807) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 37324750 + ... + 37324850.

Almost surely, 2^3769804800 is an apocalyptic number.

3769804800 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 3769804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076295135).

3769804800 is an abundant number, since it is smaller than the sum of its proper divisors (10382785470).

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

3769804800 is an equidigital number, since it uses as much as digits as its factorization.

3769804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3769804800 is about 61398.7361433442. The cubic root of 3769804800 is about 1556.3464797205.

The spelling of 3769804800 in words is "three billion, seven hundred sixty-nine million, eight hundred four thousand, eight hundred".