3785903264 has 192 divisors, whose sum is σ = 9505786752. Its totient is φ = 1457356800.

The previous prime is 3785903243. The next prime is 3785903299. The reversal of 3785903264 is 4623095873.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3188879 + ... + 3190065.

It is an arithmetic number, because the mean of its divisors is an integer number (49509306).

Almost surely, 2^3785903264 is an apocalyptic number.

3785903264 is a gapful number since it is divisible by the number (34) 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 3785903264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4752893376).

3785903264 is an abundant number, since it is smaller than the sum of its proper divisors (5719883488).

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

3785903264 is a wasteful number, since it uses less digits than its factorization.

3785903264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 47.

The square root of 3785903264 is about 61529.6941646877. The cubic root of 3785903264 is about 1558.5587258060.

The spelling of 3785903264 in words is "three billion, seven hundred eighty-five million, nine hundred three thousand, two hundred sixty-four".