3769696800 has 288 divisors, whose sum is σ = 13717872000. Its totient is φ = 999060480.

The previous prime is 3769696783. The next prime is 3769696823. The reversal of 3769696800 is 86969673.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3769696800² = 28421227927860480000, which contains 22 as substring.

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

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, 4297962 + ... + 4298838.

It is an arithmetic number, because the mean of its divisors is an integer number (47631500).

Almost surely, 2^3769696800 is an apocalyptic number.

3769696800 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 3769696800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6858936000).

3769696800 is an abundant number, since it is smaller than the sum of its proper divisors (9948175200).

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

3769696800 is a wasteful number, since it uses less digits than its factorization.

3769696800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 3769696800 is about 61397.8566401141. The cubic root of 3769696800 is about 1556.3316171450.

It can be divided in two parts, 3769 and 696800, that added together give a square (700569 = 837²).

The spelling of 3769696800 in words is "three billion, seven hundred sixty-nine million, six hundred ninety-six thousand, eight hundred".