3766428900 has 216 divisors, whose sum is σ = 13383726720. Its totient is φ = 878273280.

The previous prime is 3766428899. The next prime is 3766428947. The reversal of 3766428900 is 98246673.

3766428900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 213829 + ... + 230771.

Almost surely, 2^3766428900 is an apocalyptic number.

3766428900 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 3766428900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6691863360).

3766428900 is an abundant number, since it is smaller than the sum of its proper divisors (9617297820).

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

3766428900 is a wasteful number, since it uses less digits than its factorization.

3766428900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16995 (or 16985 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3766428900 is about 61371.2383775983. The cubic root of 3766428900 is about 1555.8817660727.

It can be divided in two parts, 37664 and 28900, that added together give a square (66564 = 258²).

The spelling of 3766428900 in words is "three billion, seven hundred sixty-six million, four hundred twenty-eight thousand, nine hundred".