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3669696 = 263223277
BaseRepresentation
bin1101111111111011000000
320220102212200
431333323000
51414412241
6210353200
743122552
oct15777300
96812780
103669696
112087108
12128b800
139b6424
146b74d2
154c74b6
hex37fec0

3669696 has 84 divisors (see below), whose sum is σ = 11015472. Its totient is φ = 1165824.

The previous prime is 3669691. The next prime is 3669709. The reversal of 3669696 is 6969663.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3669691) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13110 + ... + 13386.

Almost surely, 23669696 is an apocalyptic number.

3669696 is a gapful number since it is divisible by the number (36) 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 3669696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5507736).

3669696 is an abundant number, since it is smaller than the sum of its proper divisors (7345776).

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

3669696 is a wasteful number, since it uses less digits than its factorization.

3669696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 305 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 3669696 is about 1915.6450610695. The cubic root of 3669696 is about 154.2446216254.

It can be divided in two parts, 36 and 69696, that multiplied together give a square (2509056 = 15842).

The spelling of 3669696 in words is "three million, six hundred sixty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 277 288 368 414 552 554 576 736 828 831 1104 1108 1472 1656 1662 2208 2216 2493 3312 3324 4416 4432 4986 6371 6624 6648 8864 9972 12742 13248 13296 17728 19113 19944 25484 26592 38226 39888 50968 53184 57339 76452 79776 101936 114678 152904 159552 203872 229356 305808 407744 458712 611616 917424 1223232 1834848 3669696