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3749709006 = 2321733137021
BaseRepresentation
bin1101111110000000…
…0000010011001110
3100200022201221202100
43133200000103032
530134411142011
61420025135530
7161631000141
oct33740002316
910608657670
103749709006
11165468196a
1288792a5a6
13479b09734
14278000058
1516e2d4d56
hexdf8004ce

3749709006 has 48 divisors (see below), whose sum is σ = 8628495408. Its totient is φ = 1172793600.

The previous prime is 3749708993. The next prime is 3749709017. The reversal of 3749709006 is 6009079473.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82776 + ... + 119796.

It is an arithmetic number, because the mean of its divisors is an integer number (179760321).

Almost surely, 23749709006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3749709006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4314247704).

3749709006 is an abundant number, since it is smaller than the sum of its proper divisors (4878786402).

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

3749709006 is a wasteful number, since it uses less digits than its factorization.

3749709006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37377 (or 37374 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 3749709006 is about 61234.8675674244. The cubic root of 3749709006 is about 1553.5760658923.

The spelling of 3749709006 in words is "three billion, seven hundred forty-nine million, seven hundred nine thousand, six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 331 662 993 1986 2979 5627 5958 11254 16881 33762 37021 50643 74042 101286 111063 222126 333189 629357 666378 1258714 1888071 3776142 5664213 11328426 12253951 24507902 36761853 73523706 110285559 208317167 220571118 416634334 624951501 1249903002 1874854503 3749709006