3785751900 has 216 divisors, whose sum is σ = 14275614080. Its totient is φ = 819745920.

The previous prime is 3785751889. The next prime is 3785751923. The reversal of 3785751900 is 91575873.

3785751900 is a `hidden beast` number, since 3 + 78 + 575 + 1 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×3785751900² = 28663834896707220000, 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 103887 + ... + 135513.

Almost surely, 2^3785751900 is an apocalyptic number.

3785751900 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 3785751900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7137807040).

3785751900 is an abundant number, since it is smaller than the sum of its proper divisors (10489862180).

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

3785751900 is a wasteful number, since it uses less digits than its factorization.

3785751900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31673 (or 31663 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The square root of 3785751900 is about 61528.4641446542. The cubic root of 3785751900 is about 1558.5379546442.

The spelling of 3785751900 in words is "three billion, seven hundred eighty-five million, seven hundred fifty-one thousand, nine hundred".