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3800647368 = 2332721931259
BaseRepresentation
bin1110001010001001…
…0100011011001000
3100210212120220001100
43202202110123020
530240431203433
61425045021400
7163116653400
oct34242243310
910725526040
103800647368
111680403691
128a09b4860
13487532c8b
14280a9d800
151739e7b13
hexe28946c8

3800647368 has 432 divisors, whose sum is σ = 13244634000. Its totient is φ = 978687360.

The previous prime is 3800647283. The next prime is 3800647373. The reversal of 3800647368 is 8637460083.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 64417723 + ... + 64417781.

It is an arithmetic number, because the mean of its divisors is an integer number (30658875).

Almost surely, 23800647368 is an apocalyptic number.

3800647368 is a gapful number since it is divisible by the number (38) 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 3800647368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6622317000).

3800647368 is an abundant number, since it is smaller than the sum of its proper divisors (9443986632).

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

3800647368 is a wasteful number, since it uses less digits than its factorization.

3800647368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3800647368 is about 61649.3906539229. The cubic root of 3800647368 is about 1560.5793607443.

The spelling of 3800647368 in words is "three billion, eight hundred million, six hundred forty-seven thousand, three hundred sixty-eight".