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3785673696 = 25371719107163
BaseRepresentation
bin1110000110100100…
…1100101111100000
3100202211102011000220
43201221030233200
530223113024241
61423352043040
7162545460360
oct34151145740
910684364026
103785673696
111672a06752
12897993480
134843bc60c
1427cac29a0
1517253b166
hexe1a4cbe0

3785673696 has 384 divisors, whose sum is σ = 12854661120. Its totient is φ = 949542912.

The previous prime is 3785673673. The next prime is 3785673709. The reversal of 3785673696 is 6963765873.

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, 23224911 + ... + 23225073.

It is an arithmetic number, because the mean of its divisors is an integer number (33475680).

Almost surely, 23785673696 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 3785673696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6427330560).

3785673696 is an abundant number, since it is smaller than the sum of its proper divisors (9068987424).

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

3785673696 is a wasteful number, since it uses less digits than its factorization.

3785673696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 318 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 60.

The square root of 3785673696 is about 61527.8286306286. The cubic root of 3785673696 is about 1558.5272227611.

The spelling of 3785673696 in words is "three billion, seven hundred eighty-five million, six hundred seventy-three thousand, six hundred ninety-six".