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3730725120 = 28352353797
BaseRepresentation
bin1101111001011110…
…0101100100000000
3100122000000110202110
43132113211210000
530120031200440
61414110215320
7161310432423
oct33627454400
910560013673
103730725120
111644996001
128814b4540
13475bc0975
1427569b9ba
1516c7d5080
hexde5e5900

3730725120 has 288 divisors, whose sum is σ = 12683526912. Its totient is φ = 932478976.

The previous prime is 3730725113. The next prime is 3730725161. The reversal of 3730725120 is 215270373.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4680562 + ... + 4681358.

It is an arithmetic number, because the mean of its divisors is an integer number (44040024).

Almost surely, 23730725120 is an apocalyptic number.

3730725120 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 3730725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6341763456).

3730725120 is an abundant number, since it is smaller than the sum of its proper divisors (8952801792).

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

3730725120 is a wasteful number, since it uses less digits than its factorization.

3730725120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 3730725120 is about 61079.6620815800. The cubic root of 3730725120 is about 1550.9498333667.

Adding to 3730725120 its reverse (215270373), we get a palindrome (3945995493).

The spelling of 3730725120 in words is "three billion, seven hundred thirty million, seven hundred twenty-five thousand, one hundred twenty".