3699820800 has 756 divisors, whose sum is σ = 15028736884. Its totient is φ = 895795200.

The previous prime is 3699820799. The next prime is 3699820849. The reversal of 3699820800 is 80289963.

It can be written as a sum of positive squares in 6 ways, for example, as 1316818944 + 2383001856 = 36288^2 + 48816^2 .

It is a super-3 number, since 3×3699820800³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 60652770 + ... + 60652830.

Almost surely, 2^3699820800 is an apocalyptic number.

3699820800 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 3699820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7514368442).

3699820800 is an abundant number, since it is smaller than the sum of its proper divisors (11328916084).

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

3699820800 is an equidigital number, since it uses as much as digits as its factorization.

3699820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 3699820800 is about 60826.1522702201. The cubic root of 3699820800 is about 1546.6554035380.

The spelling of 3699820800 in words is "three billion, six hundred ninety-nine million, eight hundred twenty thousand, eight hundred".