3784518900 has 162 divisors, whose sum is σ = 12402103350. Its totient is φ = 965205120.

The previous prime is 3784518887. The next prime is 3784518931. The reversal of 3784518900 is 98154873.

3784518900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 213978384 + 3570540516 = 14628^2 + 59754^2 .

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 53 ways as a sum of consecutive naturals, for example, 472126 + ... + 480074.

Almost surely, 2^3784518900 is an apocalyptic number.

3784518900 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 3784518900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6201051675).

3784518900 is an abundant number, since it is smaller than the sum of its proper divisors (8617584450).

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

3784518900 is a wasteful number, since it uses less digits than its factorization.

3784518900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8015 (or 7982 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 3784518900 is about 61518.4435758903. The cubic root of 3784518900 is about 1558.3687336622.

The spelling of 3784518900 in words is "three billion, seven hundred eighty-four million, five hundred eighteen thousand, nine hundred".