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3280999680 = 283257232961
BaseRepresentation
bin1100001110010000…
…0001010100000000
322110122210001102200
43003210001110000
523204413442210
61301323113200
7144210015510
oct30344012400
98418701380
103280999680
111434047692
12776972800
1340398bc3a
14231a71840
1514309d0c0
hexc3901500

3280999680 has 864 divisors, whose sum is σ = 14234088960. Its totient is φ = 681246720.

The previous prime is 3280999663. The next prime is 3280999681. The reversal of 3280999680 is 869990823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3280999681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53786850 + ... + 53786910.

It is an arithmetic number, because the mean of its divisors is an integer number (16474640).

Almost surely, 23280999680 is an apocalyptic number.

3280999680 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 3280999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7117044480).

3280999680 is an abundant number, since it is smaller than the sum of its proper divisors (10953089280).

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

3280999680 is a wasteful number, since it uses less digits than its factorization.

3280999680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 3280999680 is about 57280.0111731833. The cubic root of 3280999680 is about 1485.9426997367.

The spelling of 3280999680 in words is "three billion, two hundred eighty million, nine hundred ninety-nine thousand, six hundred eighty".