3785969352 has 256 divisors, whose sum is σ = 11063070720. Its totient is φ = 1069286400.

The previous prime is 3785969351. The next prime is 3785969353. The reversal of 3785969352 is 2539695873.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3785969351) and next prime (3785969353).

Its product of digits (12247200) is a multiple of the sum of its prime divisors (280).

It is a junction number, because it is equal to n+sod(n) for n = 3785969292 and 3785969301.

It is not an unprimeable number, because it can be changed into a prime (3785969351) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36756933 + ... + 36757035.

It is an arithmetic number, because the mean of its divisors is an integer number (43215120).

Almost surely, 2^3785969352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3785969352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5531535360).

3785969352 is an abundant number, since it is smaller than the sum of its proper divisors (7277101368).

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

3785969352 is a wasteful number, since it uses less digits than its factorization.

3785969352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 280 counting only the distinct ones).

The product of its digits is 12247200, while the sum is 57.

The square root of 3785969352 is about 61530.2312038562. The cubic root of 3785969352 is about 1558.5677946615.

The spelling of 3785969352 in words is "three billion, seven hundred eighty-five million, nine hundred sixty-nine thousand, three hundred fifty-two".