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3785964 = 2237133467
BaseRepresentation
bin1110011100010011101100
321010100100220
432130103230
51432122324
6213051340
744115540
oct16342354
97110326
103785964
1121564a6
121326b50
13a27320
14707a20
154ebb79
hex39c4ec

3785964 has 48 divisors (see below), whose sum is σ = 10875648. Its totient is φ = 998208.

The previous prime is 3785963. The next prime is 3785987. The reversal of 3785964 is 4695873.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3785963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 642 + ... + 2825.

It is an arithmetic number, because the mean of its divisors is an integer number (226576).

Almost surely, 23785964 is an apocalyptic number.

It is an amenable number.

3785964 is an abundant number, since it is smaller than the sum of its proper divisors (7089684).

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

3785964 is a wasteful number, since it uses less digits than its factorization.

3785964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3494 (or 3492 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 3785964 is about 1945.7553803086. The cubic root of 3785964 is about 155.8567060243.

Subtracting 3785964 from its reverse (4695873), we obtain a palindrome (909909).

The spelling of 3785964 in words is "three million, seven hundred eighty-five thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 3467 6934 10401 13868 20802 24269 41604 45071 48538 72807 90142 97076 135213 145614 180284 270426 291228 315497 540852 630994 946491 1261988 1892982 3785964