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3749686080 = 263572971271
BaseRepresentation
bin1101111101111111…
…1010101101000000
3100200022200210022020
43133133322231000
530134404423310
61420024441440
7161630543250
oct33737725500
910608623266
103749686080
111654666718
12887919280
13479acc17a
14277dd5960
1516e2cd170
hexdf7fab40

3749686080 has 448 divisors, whose sum is σ = 14326087680. Its totient is φ = 812851200.

The previous prime is 3749686069. The next prime is 3749686117. The reversal of 3749686080 is 806869473.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13836345 + ... + 13836615.

Almost surely, 23749686080 is an apocalyptic number.

3749686080 is a gapful number since it is divisible by the number (30) 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 3749686080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7163043840).

3749686080 is an abundant number, since it is smaller than the sum of its proper divisors (10576401600).

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

3749686080 is a wasteful number, since it uses less digits than its factorization.

3749686080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 3749686080 is about 61234.6803698688. The cubic root of 3749686080 is about 1553.5728996593.

The spelling of 3749686080 in words is "three billion, seven hundred forty-nine million, six hundred eighty-six thousand, eighty".