3785769900 has 252 divisors, whose sum is σ = 13439624184. Its totient is φ = 917568000.

The previous prime is 3785769887. The next prime is 3785769901. The reversal of 3785769900 is 99675873.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3785769901) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 799540 + ... + 804260.

It is an arithmetic number, because the mean of its divisors is an integer number (53331842).

Almost surely, 2^3785769900 is an apocalyptic number.

3785769900 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 3785769900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6719812092).

3785769900 is an abundant number, since it is smaller than the sum of its proper divisors (9653854284).

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

3785769900 is a wasteful number, since it uses less digits than its factorization.

3785769900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4764 (or 4742 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 3785769900 is about 61528.6104182436. The cubic root of 3785769900 is about 1558.5404247514.

The spelling of 3785769900 in words is "three billion, seven hundred eighty-five million, seven hundred sixty-nine thousand, nine hundred".