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3978823680 = 2113651341
BaseRepresentation
bin1110110100101000…
…0000100000000000
3101021021212012000000
43231022000200000
531122034324210
61454452000000
7200412305016
oct35512004000
911237765000
103978823680
111761a40137
12930600000
134b5418a50
1429a6008b6
15184490ac0
hexed280800

3978823680 has 672 divisors, whose sum is σ = 15790745880. Its totient is φ = 955514880.

The previous prime is 3978823663. The next prime is 3978823699. The reversal of 3978823680 is 863288793.

It can be written as a sum of positive squares in 4 ways, for example, as 1380271104 + 2598552576 = 37152^2 + 50976^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 97044460 + ... + 97044500.

Almost surely, 23978823680 is an apocalyptic number.

3978823680 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 3978823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7895372940).

3978823680 is an abundant number, since it is smaller than the sum of its proper divisors (11811922200).

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

3978823680 is an equidigital number, since it uses as much as digits as its factorization.

3978823680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 3978823680 is about 63077.9175306224. The cubic root of 3978823680 is about 1584.5948179305.

The spelling of 3978823680 in words is "three billion, nine hundred seventy-eight million, eight hundred twenty-three thousand, six hundred eighty".