3789498900 has 288 divisors, whose sum is σ = 13079162880. Its totient is φ = 836352000.

The previous prime is 3789498877. The next prime is 3789498901. The reversal of 3789498900 is 98949873.

3789498900 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3789498901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1738011 + ... + 1740189.

It is an arithmetic number, because the mean of its divisors is an integer number (45413760).

Almost surely, 2^3789498900 is an apocalyptic number.

3789498900 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 3789498900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6539581440).

3789498900 is an abundant number, since it is smaller than the sum of its proper divisors (9289663980).

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

3789498900 is a wasteful number, since it uses less digits than its factorization.

3789498900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The square root of 3789498900 is about 61558.9059356971. The cubic root of 3789498900 is about 1559.0519798842.

The spelling of 3789498900 in words is "three billion, seven hundred eighty-nine million, four hundred ninety-eight thousand, nine hundred".