3789531900 has 432 divisors, whose sum is σ = 14949043200. Its totient is φ = 780019200.

The previous prime is 3789531869. The next prime is 3789531917. The reversal of 3789531900 is 91359873.

It is a happy number.

3789531900 is a `hidden beast` number, since 37 + 89 + 531 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×3789531900² = 28721104042235220000, which contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 10325517 + ... + 10325883.

Almost surely, 2^3789531900 is an apocalyptic number.

3789531900 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 3789531900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7474521600).

3789531900 is an abundant number, since it is smaller than the sum of its proper divisors (11159511300).

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

3789531900 is a wasteful number, since it uses less digits than its factorization.

3789531900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 3789531900 is about 61559.1739710662. The cubic root of 3789531900 is about 1559.0565054224.

The spelling of 3789531900 in words is "three billion, seven hundred eighty-nine million, five hundred thirty-one thousand, nine hundred".